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Finding the Fourth Proportional to 42,655.50, 63,897.59 and 21,243.71

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Solution

The fourth proportional to 42,655.50, 63,897.59 and 21,243.71 is: 31,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,655.50 : 63,897.59 = 21,243.71 : x
  2. Step 2: Convert to fraction form
    42,655.50/63,897.59 = 21,243.71/x
  3. Step 3: Cross multiply
    42,655.50x = 63,897.59 × 21,243.71
  4. Step 4: Simplify right side
    42,655.50x = 1,357,421,871.66
  5. Step 5: Solve for x
    x = 1,357,421,871.66/42,655.50
  6. Step 6: Final answer
    x = 31,822.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.