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Finding the Fourth Proportional to 78,564, 117,864.42 and 25,973.13

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Solution

The fourth proportional to 78,564, 117,864.42 and 25,973.13 is: 38,965.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,564 : 117,864.42 = 25,973.13 : x
  2. Step 2: Convert to fraction form
    78,564/117,864.42 = 25,973.13/x
  3. Step 3: Cross multiply
    78,564x = 117,864.42 × 25,973.13
  4. Step 4: Simplify right side
    78,564x = 3,061,307,903.03
  5. Step 5: Solve for x
    x = 3,061,307,903.03/78,564
  6. Step 6: Final answer
    x = 38,965.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.