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Finding the Fourth Proportional to 32,931.74, 49,397.74 and 7,971.75

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Solution

The fourth proportional to 32,931.74, 49,397.74 and 7,971.75 is: 11,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,931.74 : 49,397.74 = 7,971.75 : x
  2. Step 2: Convert to fraction form
    32,931.74/49,397.74 = 7,971.75/x
  3. Step 3: Cross multiply
    32,931.74x = 49,397.74 × 7,971.75
  4. Step 4: Simplify right side
    32,931.74x = 393,786,194.31
  5. Step 5: Solve for x
    x = 393,786,194.31/32,931.74
  6. Step 6: Final answer
    x = 11,957.65

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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.