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Finding the Fourth Proportional to 97,038, 133,909.20 and 54,594

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Solution

The fourth proportional to 97,038, 133,909.20 and 54,594 is: 75,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,038 : 133,909.20 = 54,594 : x
  2. Step 2: Convert to fraction form
    97,038/133,909.20 = 54,594/x
  3. Step 3: Cross multiply
    97,038x = 133,909.20 × 54,594
  4. Step 4: Simplify right side
    97,038x = 7,310,638,864.80
  5. Step 5: Solve for x
    x = 7,310,638,864.80/97,038
  6. Step 6: Final answer
    x = 75,337.90

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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.