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Finding the Fourth Proportional to 78,032.84, 117,061.50 and 25,430.18

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Solution

The fourth proportional to 78,032.84, 117,061.50 and 25,430.18 is: 38,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,032.84 : 117,061.50 = 25,430.18 : x
  2. Step 2: Convert to fraction form
    78,032.84/117,061.50 = 25,430.18/x
  3. Step 3: Cross multiply
    78,032.84x = 117,061.50 × 25,430.18
  4. Step 4: Simplify right side
    78,032.84x = 2,976,895,016.07
  5. Step 5: Solve for x
    x = 2,976,895,016.07/78,032.84
  6. Step 6: Final answer
    x = 38,149.26

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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.