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Finding the Fourth Proportional to 78,374.04, 108,156.15 and 42,564.06

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Solution

The fourth proportional to 78,374.04, 108,156.15 and 42,564.06 is: 58,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,374.04 : 108,156.15 = 42,564.06 : x
  2. Step 2: Convert to fraction form
    78,374.04/108,156.15 = 42,564.06/x
  3. Step 3: Cross multiply
    78,374.04x = 108,156.15 × 42,564.06
  4. Step 4: Simplify right side
    78,374.04x = 4,603,564,857.97
  5. Step 5: Solve for x
    x = 4,603,564,857.97/78,374.04
  6. Step 6: Final answer
    x = 58,738.39

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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.