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Finding the Fourth Proportional to 97,672, 134,787.42 and 52,960

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Solution

The fourth proportional to 97,672, 134,787.42 and 52,960 is: 73,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,672 : 134,787.42 = 52,960 : x
  2. Step 2: Convert to fraction form
    97,672/134,787.42 = 52,960/x
  3. Step 3: Cross multiply
    97,672x = 134,787.42 × 52,960
  4. Step 4: Simplify right side
    97,672x = 7,138,341,763.20
  5. Step 5: Solve for x
    x = 7,138,341,763.20/97,672
  6. Step 6: Final answer
    x = 73,084.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.