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Finding the Fourth Proportional to 32,582.40, 48,859.20 and 12,854.40

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Solution

The fourth proportional to 32,582.40, 48,859.20 and 12,854.40 is: 19,275.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,582.40 : 48,859.20 = 12,854.40 : x
  2. Step 2: Convert to fraction form
    32,582.40/48,859.20 = 12,854.40/x
  3. Step 3: Cross multiply
    32,582.40x = 48,859.20 × 12,854.40
  4. Step 4: Simplify right side
    32,582.40x = 628,055,700.48
  5. Step 5: Solve for x
    x = 628,055,700.48/32,582.40
  6. Step 6: Final answer
    x = 19,275.92

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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.