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Finding the Fourth Proportional to 64,931.76, 97,404.12 and 29,881.44

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Solution

The fourth proportional to 64,931.76, 97,404.12 and 29,881.44 is: 44,825.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,931.76 : 97,404.12 = 29,881.44 : x
  2. Step 2: Convert to fraction form
    64,931.76/97,404.12 = 29,881.44/x
  3. Step 3: Cross multiply
    64,931.76x = 97,404.12 × 29,881.44
  4. Step 4: Simplify right side
    64,931.76x = 2,910,575,367.53
  5. Step 5: Solve for x
    x = 2,910,575,367.53/64,931.76
  6. Step 6: Final answer
    x = 44,825.14

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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.