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Finding the Fourth Proportional to 78,374.17, 108,156.32 and 42,564.19

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Solution

The fourth proportional to 78,374.17, 108,156.32 and 42,564.19 is: 58,738.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,374.17 : 108,156.32 = 42,564.19 : x
  2. Step 2: Convert to fraction form
    78,374.17/108,156.32 = 42,564.19/x
  3. Step 3: Cross multiply
    78,374.17x = 108,156.32 × 42,564.19
  4. Step 4: Simplify right side
    78,374.17x = 4,603,586,154.18
  5. Step 5: Solve for x
    x = 4,603,586,154.18/78,374.17
  6. Step 6: Final answer
    x = 58,738.56

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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.