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Finding the Fourth Proportional to 32,449.52, 48,674.14 and 12,714.14

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Solution

The fourth proportional to 32,449.52, 48,674.14 and 12,714.14 is: 19,071.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,449.52 : 48,674.14 = 12,714.14 : x
  2. Step 2: Convert to fraction form
    32,449.52/48,674.14 = 12,714.14/x
  3. Step 3: Cross multiply
    32,449.52x = 48,674.14 × 12,714.14
  4. Step 4: Simplify right side
    32,449.52x = 618,849,830.34
  5. Step 5: Solve for x
    x = 618,849,830.34/32,449.52
  6. Step 6: Final answer
    x = 19,071.16

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1.5x scale

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.