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Finding the Fourth Proportional to 48,592.10, 72,909.21 and 23,653.82

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Solution

The fourth proportional to 48,592.10, 72,909.21 and 23,653.82 is: 35,490.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,592.10 : 72,909.21 = 23,653.82 : x
  2. Step 2: Convert to fraction form
    48,592.10/72,909.21 = 23,653.82/x
  3. Step 3: Cross multiply
    48,592.10x = 72,909.21 × 23,653.82
  4. Step 4: Simplify right side
    48,592.10x = 1,724,581,600.66
  5. Step 5: Solve for x
    x = 1,724,581,600.66/48,592.10
  6. Step 6: Final answer
    x = 35,490.99

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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.