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Finding the Fourth Proportional to 29,490.76, 40,702.50 and 17,561

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Solution

The fourth proportional to 29,490.76, 40,702.50 and 17,561 is: 24,237.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,490.76 : 40,702.50 = 17,561 : x
  2. Step 2: Convert to fraction form
    29,490.76/40,702.50 = 17,561/x
  3. Step 3: Cross multiply
    29,490.76x = 40,702.50 × 17,561
  4. Step 4: Simplify right side
    29,490.76x = 714,776,602.50
  5. Step 5: Solve for x
    x = 714,776,602.50/29,490.76
  6. Step 6: Final answer
    x = 24,237.31

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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.