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Finding the Fourth Proportional to 29,931.31, 41,307.06 and 16,502.53

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Solution

The fourth proportional to 29,931.31, 41,307.06 and 16,502.53 is: 22,774.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,931.31 : 41,307.06 = 16,502.53 : x
  2. Step 2: Convert to fraction form
    29,931.31/41,307.06 = 16,502.53/x
  3. Step 3: Cross multiply
    29,931.31x = 41,307.06 × 16,502.53
  4. Step 4: Simplify right side
    29,931.31x = 681,670,996.86
  5. Step 5: Solve for x
    x = 681,670,996.86/29,931.31
  6. Step 6: Final answer
    x = 22,774.51

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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.