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Finding the Fourth Proportional to 32,170.77, 48,256.56 and 15,527.70

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Solution

The fourth proportional to 32,170.77, 48,256.56 and 15,527.70 is: 23,291.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,170.77 : 48,256.56 = 15,527.70 : x
  2. Step 2: Convert to fraction form
    32,170.77/48,256.56 = 15,527.70/x
  3. Step 3: Cross multiply
    32,170.77x = 48,256.56 × 15,527.70
  4. Step 4: Simplify right side
    32,170.77x = 749,313,386.71
  5. Step 5: Solve for x
    x = 749,313,386.71/32,170.77
  6. Step 6: Final answer
    x = 23,291.75

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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.