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Finding the Fourth Proportional to 78,478.98, 117,792.45 and 28,607.28

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Solution

The fourth proportional to 78,478.98, 117,792.45 and 28,607.28 is: 42,937.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,478.98 : 117,792.45 = 28,607.28 : x
  2. Step 2: Convert to fraction form
    78,478.98/117,792.45 = 28,607.28/x
  3. Step 3: Cross multiply
    78,478.98x = 117,792.45 × 28,607.28
  4. Step 4: Simplify right side
    78,478.98x = 3,369,721,599.04
  5. Step 5: Solve for x
    x = 3,369,721,599.04/78,478.98
  6. Step 6: Final answer
    x = 42,937.89

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Why These Related Problems?

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