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Finding the Fourth Proportional to 48,585.50, 72,878.26 and 13,526.08

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Solution

The fourth proportional to 48,585.50, 72,878.26 and 13,526.08 is: 20,289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,585.50 : 72,878.26 = 13,526.08 : x
  2. Step 2: Convert to fraction form
    48,585.50/72,878.26 = 13,526.08/x
  3. Step 3: Cross multiply
    48,585.50x = 72,878.26 × 13,526.08
  4. Step 4: Simplify right side
    48,585.50x = 985,757,175.02
  5. Step 5: Solve for x
    x = 985,757,175.02/48,585.50
  6. Step 6: Final answer
    x = 20,289.12

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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.