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Finding the Fourth Proportional to 34,502.41, 51,710.32 and 14,757.76

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Solution

The fourth proportional to 34,502.41, 51,710.32 and 14,757.76 is: 22,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,502.41 : 51,710.32 = 14,757.76 : x
  2. Step 2: Convert to fraction form
    34,502.41/51,710.32 = 14,757.76/x
  3. Step 3: Cross multiply
    34,502.41x = 51,710.32 × 14,757.76
  4. Step 4: Simplify right side
    34,502.41x = 763,128,492.08
  5. Step 5: Solve for x
    x = 763,128,492.08/34,502.41
  6. Step 6: Final answer
    x = 22,118.12

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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.