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Finding the Fourth Proportional to 48,407.68, 72,548.74 and 21,733.98

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Solution

The fourth proportional to 48,407.68, 72,548.74 and 21,733.98 is: 32,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,407.68 : 72,548.74 = 21,733.98 : x
  2. Step 2: Convert to fraction form
    48,407.68/72,548.74 = 21,733.98/x
  3. Step 3: Cross multiply
    48,407.68x = 72,548.74 × 21,733.98
  4. Step 4: Simplify right side
    48,407.68x = 1,576,772,864.19
  5. Step 5: Solve for x
    x = 1,576,772,864.19/48,407.68
  6. Step 6: Final answer
    x = 32,572.78

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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.