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Finding the Fourth Proportional to 32,085.08, 48,127.62 and 15,655

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Solution

The fourth proportional to 32,085.08, 48,127.62 and 15,655 is: 23,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,085.08 : 48,127.62 = 15,655 : x
  2. Step 2: Convert to fraction form
    32,085.08/48,127.62 = 15,655/x
  3. Step 3: Cross multiply
    32,085.08x = 48,127.62 × 15,655
  4. Step 4: Simplify right side
    32,085.08x = 753,437,891.10
  5. Step 5: Solve for x
    x = 753,437,891.10/32,085.08
  6. Step 6: Final answer
    x = 23,482.50

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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.