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Finding the Fourth Proportional to 34,663.88, 52,015.68 and 34,382

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Solution

The fourth proportional to 34,663.88, 52,015.68 and 34,382 is: 51,592.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,663.88 : 52,015.68 = 34,382 : x
  2. Step 2: Convert to fraction form
    34,663.88/52,015.68 = 34,382/x
  3. Step 3: Cross multiply
    34,663.88x = 52,015.68 × 34,382
  4. Step 4: Simplify right side
    34,663.88x = 1,788,403,109.76
  5. Step 5: Solve for x
    x = 1,788,403,109.76/34,663.88
  6. Step 6: Final answer
    x = 51,592.70

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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.