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Finding the Fourth Proportional to 32,742, 49,117.56 and 11,675.88

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Solution

The fourth proportional to 32,742, 49,117.56 and 11,675.88 is: 17,515.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,742 : 49,117.56 = 11,675.88 : x
  2. Step 2: Convert to fraction form
    32,742/49,117.56 = 11,675.88/x
  3. Step 3: Cross multiply
    32,742x = 49,117.56 × 11,675.88
  4. Step 4: Simplify right side
    32,742x = 573,490,736.45
  5. Step 5: Solve for x
    x = 573,490,736.45/32,742
  6. Step 6: Final answer
    x = 17,515.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.