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Finding the Fourth Proportional to 78,541.92, 108,385.92 and 42,732

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Solution

The fourth proportional to 78,541.92, 108,385.92 and 42,732 is: 58,969.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,541.92 : 108,385.92 = 42,732 : x
  2. Step 2: Convert to fraction form
    78,541.92/108,385.92 = 42,732/x
  3. Step 3: Cross multiply
    78,541.92x = 108,385.92 × 42,732
  4. Step 4: Simplify right side
    78,541.92x = 4,631,547,133.44
  5. Step 5: Solve for x
    x = 4,631,547,133.44/78,541.92
  6. Step 6: Final answer
    x = 58,969.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.