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Finding the Fourth Proportional to 32,864.86, 49,300.02 and 13,132.66

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Solution

The fourth proportional to 32,864.86, 49,300.02 and 13,132.66 is: 19,700.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,864.86 : 49,300.02 = 13,132.66 : x
  2. Step 2: Convert to fraction form
    32,864.86/49,300.02 = 13,132.66/x
  3. Step 3: Cross multiply
    32,864.86x = 49,300.02 × 13,132.66
  4. Step 4: Simplify right side
    32,864.86x = 647,440,400.65
  5. Step 5: Solve for x
    x = 647,440,400.65/32,864.86
  6. Step 6: Final answer
    x = 19,700.08

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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.