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Finding the Fourth Proportional to 64,943.84, 97,337.34 and 31,613.96

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Solution

The fourth proportional to 64,943.84, 97,337.34 and 31,613.96 is: 47,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,943.84 : 97,337.34 = 31,613.96 : x
  2. Step 2: Convert to fraction form
    64,943.84/97,337.34 = 31,613.96/x
  3. Step 3: Cross multiply
    64,943.84x = 97,337.34 × 31,613.96
  4. Step 4: Simplify right side
    64,943.84x = 3,077,218,773.27
  5. Step 5: Solve for x
    x = 3,077,218,773.27/64,943.84
  6. Step 6: Final answer
    x = 47,382.77

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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.