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Finding the Fourth Proportional to 97,397.76, 134,408.96 and 52,685.76

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Solution

The fourth proportional to 97,397.76, 134,408.96 and 52,685.76 is: 72,706.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,397.76 : 134,408.96 = 52,685.76 : x
  2. Step 2: Convert to fraction form
    97,397.76/134,408.96 = 52,685.76/x
  3. Step 3: Cross multiply
    97,397.76x = 134,408.96 × 52,685.76
  4. Step 4: Simplify right side
    97,397.76x = 7,081,438,208.41
  5. Step 5: Solve for x
    x = 7,081,438,208.41/97,397.76
  6. Step 6: Final answer
    x = 72,706.38

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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.