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Finding the Fourth Proportional to 31,323.48, 47,006.18 and 11,602.22

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Solution

The fourth proportional to 31,323.48, 47,006.18 and 11,602.22 is: 17,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,323.48 : 47,006.18 = 11,602.22 : x
  2. Step 2: Convert to fraction form
    31,323.48/47,006.18 = 11,602.22/x
  3. Step 3: Cross multiply
    31,323.48x = 47,006.18 × 11,602.22
  4. Step 4: Simplify right side
    31,323.48x = 545,376,041.72
  5. Step 5: Solve for x
    x = 545,376,041.72/31,323.48
  6. Step 6: Final answer
    x = 17,411.09

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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.