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Finding the Fourth Proportional to 34,563, 51,856.65 and 17,045.13

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Solution

The fourth proportional to 34,563, 51,856.65 and 17,045.13 is: 25,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,563 : 51,856.65 = 17,045.13 : x
  2. Step 2: Convert to fraction form
    34,563/51,856.65 = 17,045.13/x
  3. Step 3: Cross multiply
    34,563x = 51,856.65 × 17,045.13
  4. Step 4: Simplify right side
    34,563x = 883,903,340.61
  5. Step 5: Solve for x
    x = 883,903,340.61/34,563
  6. Step 6: Final answer
    x = 25,573.69

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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.