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Finding the Fourth Proportional to 64,748.46, 97,122.46 and 29,168.14

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Solution

The fourth proportional to 64,748.46, 97,122.46 and 29,168.14 is: 43,752.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,748.46 : 97,122.46 = 29,168.14 : x
  2. Step 2: Convert to fraction form
    64,748.46/97,122.46 = 29,168.14/x
  3. Step 3: Cross multiply
    64,748.46x = 97,122.46 × 29,168.14
  4. Step 4: Simplify right side
    64,748.46x = 2,832,881,510.42
  5. Step 5: Solve for x
    x = 2,832,881,510.42/64,748.46
  6. Step 6: Final answer
    x = 43,752.11

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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.