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Finding the Fourth Proportional to 113,866.16, 170,684.92 and 38,935.06

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Solution

The fourth proportional to 113,866.16, 170,684.92 and 38,935.06 is: 58,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,866.16 : 170,684.92 = 38,935.06 : x
  2. Step 2: Convert to fraction form
    113,866.16/170,684.92 = 38,935.06/x
  3. Step 3: Cross multiply
    113,866.16x = 170,684.92 × 38,935.06
  4. Step 4: Simplify right side
    113,866.16x = 6,645,627,223.25
  5. Step 5: Solve for x
    x = 6,645,627,223.25/113,866.16
  6. Step 6: Final answer
    x = 58,363.50

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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.