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Finding the Fourth Proportional to 48,585, 72,877.50 and 13,525.57

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Solution

The fourth proportional to 48,585, 72,877.50 and 13,525.57 is: 20,288.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,585 : 72,877.50 = 13,525.57 : x
  2. Step 2: Convert to fraction form
    48,585/72,877.50 = 13,525.57/x
  3. Step 3: Cross multiply
    48,585x = 72,877.50 × 13,525.57
  4. Step 4: Simplify right side
    48,585x = 985,709,727.68
  5. Step 5: Solve for x
    x = 985,709,727.68/48,585
  6. Step 6: Final answer
    x = 20,288.36

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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.