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Finding the Fourth Proportional to 40,921, 56,471.04 and 24,154

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Solution

The fourth proportional to 40,921, 56,471.04 and 24,154 is: 33,332.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,921 : 56,471.04 = 24,154 : x
  2. Step 2: Convert to fraction form
    40,921/56,471.04 = 24,154/x
  3. Step 3: Cross multiply
    40,921x = 56,471.04 × 24,154
  4. Step 4: Simplify right side
    40,921x = 1,364,001,500.16
  5. Step 5: Solve for x
    x = 1,364,001,500.16/40,921
  6. Step 6: Final answer
    x = 33,332.56

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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.