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Finding the Fourth Proportional to 78,968, 118,472.52 and 23,564

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Solution

The fourth proportional to 78,968, 118,472.52 and 23,564 is: 35,352.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,968 : 118,472.52 = 23,564 : x
  2. Step 2: Convert to fraction form
    78,968/118,472.52 = 23,564/x
  3. Step 3: Cross multiply
    78,968x = 118,472.52 × 23,564
  4. Step 4: Simplify right side
    78,968x = 2,791,686,461.28
  5. Step 5: Solve for x
    x = 2,791,686,461.28/78,968
  6. Step 6: Final answer
    x = 35,352.12

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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.