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Finding the Fourth Proportional to 78,970, 118,475.52 and 23,566

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Solution

The fourth proportional to 78,970, 118,475.52 and 23,566 is: 35,355.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,970 : 118,475.52 = 23,566 : x
  2. Step 2: Convert to fraction form
    78,970/118,475.52 = 23,566/x
  3. Step 3: Cross multiply
    78,970x = 118,475.52 × 23,566
  4. Step 4: Simplify right side
    78,970x = 2,791,994,104.32
  5. Step 5: Solve for x
    x = 2,791,994,104.32/78,970
  6. Step 6: Final answer
    x = 35,355.12

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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.