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Finding the Fourth Proportional to 40,438.04, 55,802.73 and 22,535

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Solution

The fourth proportional to 40,438.04, 55,802.73 and 22,535 is: 31,097.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,438.04 : 55,802.73 = 22,535 : x
  2. Step 2: Convert to fraction form
    40,438.04/55,802.73 = 22,535/x
  3. Step 3: Cross multiply
    40,438.04x = 55,802.73 × 22,535
  4. Step 4: Simplify right side
    40,438.04x = 1,257,514,520.55
  5. Step 5: Solve for x
    x = 1,257,514,520.55/40,438.04
  6. Step 6: Final answer
    x = 31,097.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.