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Finding the Fourth Proportional to 32,352.65, 48,537.03 and 25,714.20

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Solution

The fourth proportional to 32,352.65, 48,537.03 and 25,714.20 is: 38,577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,352.65 : 48,537.03 = 25,714.20 : x
  2. Step 2: Convert to fraction form
    32,352.65/48,537.03 = 25,714.20/x
  3. Step 3: Cross multiply
    32,352.65x = 48,537.03 × 25,714.20
  4. Step 4: Simplify right side
    32,352.65x = 1,248,090,811.24
  5. Step 5: Solve for x
    x = 1,248,090,811.24/32,352.65
  6. Step 6: Final answer
    x = 38,577.70

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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.