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Finding the Fourth Proportional to 109,953.66, 164,815.07 and 46,759.08

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Solution

The fourth proportional to 109,953.66, 164,815.07 and 46,759.08 is: 70,089.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,953.66 : 164,815.07 = 46,759.08 : x
  2. Step 2: Convert to fraction form
    109,953.66/164,815.07 = 46,759.08/x
  3. Step 3: Cross multiply
    109,953.66x = 164,815.07 × 46,759.08
  4. Step 4: Simplify right side
    109,953.66x = 7,706,600,809.54
  5. Step 5: Solve for x
    x = 7,706,600,809.54/109,953.66
  6. Step 6: Final answer
    x = 70,089.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.