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Finding the Fourth Proportional to 109,953.92, 164,931.28 and 46,765.01

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Solution

The fourth proportional to 109,953.92, 164,931.28 and 46,765.01 is: 70,147.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,953.92 : 164,931.28 = 46,765.01 : x
  2. Step 2: Convert to fraction form
    109,953.92/164,931.28 = 46,765.01/x
  3. Step 3: Cross multiply
    109,953.92x = 164,931.28 × 46,765.01
  4. Step 4: Simplify right side
    109,953.92x = 7,713,012,133.86
  5. Step 5: Solve for x
    x = 7,713,012,133.86/109,953.92
  6. Step 6: Final answer
    x = 70,147.68

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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.