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Finding the Fourth Proportional to 46,852.50, 70,288.47 and 19,150.50

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Solution

The fourth proportional to 46,852.50, 70,288.47 and 19,150.50 is: 28,729.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,852.50 : 70,288.47 = 19,150.50 : x
  2. Step 2: Convert to fraction form
    46,852.50/70,288.47 = 19,150.50/x
  3. Step 3: Cross multiply
    46,852.50x = 70,288.47 × 19,150.50
  4. Step 4: Simplify right side
    46,852.50x = 1,346,059,344.74
  5. Step 5: Solve for x
    x = 1,346,059,344.74/46,852.50
  6. Step 6: Final answer
    x = 28,729.72

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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.