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Finding the Fourth Proportional to 48,322.59, 72,454.75 and 21,663.75

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Solution

The fourth proportional to 48,322.59, 72,454.75 and 21,663.75 is: 32,482.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,322.59 : 72,454.75 = 21,663.75 : x
  2. Step 2: Convert to fraction form
    48,322.59/72,454.75 = 21,663.75/x
  3. Step 3: Cross multiply
    48,322.59x = 72,454.75 × 21,663.75
  4. Step 4: Simplify right side
    48,322.59x = 1,569,641,617.39
  5. Step 5: Solve for x
    x = 1,569,641,617.39/48,322.59
  6. Step 6: Final answer
    x = 32,482.57

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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.