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Finding the Fourth Proportional to 48,382.68, 72,558.66 and 15,543

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Solution

The fourth proportional to 48,382.68, 72,558.66 and 15,543 is: 23,309.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,382.68 : 72,558.66 = 15,543 : x
  2. Step 2: Convert to fraction form
    48,382.68/72,558.66 = 15,543/x
  3. Step 3: Cross multiply
    48,382.68x = 72,558.66 × 15,543
  4. Step 4: Simplify right side
    48,382.68x = 1,127,779,252.38
  5. Step 5: Solve for x
    x = 1,127,779,252.38/48,382.68
  6. Step 6: Final answer
    x = 23,309.57

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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.