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Finding the Fourth Proportional to 40,437.54, 55,802.04 and 22,534.50

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Solution

The fourth proportional to 40,437.54, 55,802.04 and 22,534.50 is: 31,096.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,437.54 : 55,802.04 = 22,534.50 : x
  2. Step 2: Convert to fraction form
    40,437.54/55,802.04 = 22,534.50/x
  3. Step 3: Cross multiply
    40,437.54x = 55,802.04 × 22,534.50
  4. Step 4: Simplify right side
    40,437.54x = 1,257,471,070.38
  5. Step 5: Solve for x
    x = 1,257,471,070.38/40,437.54
  6. Step 6: Final answer
    x = 31,096.63

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Why These Related Problems?

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