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Finding the Fourth Proportional to 78,552.56, 108,402.40 and 42,742.38

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Solution

The fourth proportional to 78,552.56, 108,402.40 and 42,742.38 is: 58,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,552.56 : 108,402.40 = 42,742.38 : x
  2. Step 2: Convert to fraction form
    78,552.56/108,402.40 = 42,742.38/x
  3. Step 3: Cross multiply
    78,552.56x = 108,402.40 × 42,742.38
  4. Step 4: Simplify right side
    78,552.56x = 4,633,376,573.71
  5. Step 5: Solve for x
    x = 4,633,376,573.71/78,552.56
  6. Step 6: Final answer
    x = 58,984.41

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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.