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Finding the Fourth Proportional to 32,666.40, 49,006.53 and 18,633.15

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Solution

The fourth proportional to 32,666.40, 49,006.53 and 18,633.15 is: 27,953.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,666.40 : 49,006.53 = 18,633.15 : x
  2. Step 2: Convert to fraction form
    32,666.40/49,006.53 = 18,633.15/x
  3. Step 3: Cross multiply
    32,666.40x = 49,006.53 × 18,633.15
  4. Step 4: Simplify right side
    32,666.40x = 913,146,024.47
  5. Step 5: Solve for x
    x = 913,146,024.47/32,666.40
  6. Step 6: Final answer
    x = 27,953.68

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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.