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Finding the Fourth Proportional to 32,501.64, 48,742.80 and 13,781.40

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Solution

The fourth proportional to 32,501.64, 48,742.80 and 13,781.40 is: 20,668.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,501.64 : 48,742.80 = 13,781.40 : x
  2. Step 2: Convert to fraction form
    32,501.64/48,742.80 = 13,781.40/x
  3. Step 3: Cross multiply
    32,501.64x = 48,742.80 × 13,781.40
  4. Step 4: Simplify right side
    32,501.64x = 671,744,023.92
  5. Step 5: Solve for x
    x = 671,744,023.92/32,501.64
  6. Step 6: Final answer
    x = 20,668.00

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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.