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Finding the Fourth Proportional to 64,902.86, 97,353.82 and 34,931.18

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Solution

The fourth proportional to 64,902.86, 97,353.82 and 34,931.18 is: 52,396.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,902.86 : 97,353.82 = 34,931.18 : x
  2. Step 2: Convert to fraction form
    64,902.86/97,353.82 = 34,931.18/x
  3. Step 3: Cross multiply
    64,902.86x = 97,353.82 × 34,931.18
  4. Step 4: Simplify right side
    64,902.86x = 3,400,683,323.34
  5. Step 5: Solve for x
    x = 3,400,683,323.34/64,902.86
  6. Step 6: Final answer
    x = 52,396.51

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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.