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Finding the Fourth Proportional to 40,871.68, 56,381.74 and 27,446.74

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Solution

The fourth proportional to 40,871.68, 56,381.74 and 27,446.74 is: 37,862.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,871.68 : 56,381.74 = 27,446.74 : x
  2. Step 2: Convert to fraction form
    40,871.68/56,381.74 = 27,446.74/x
  3. Step 3: Cross multiply
    40,871.68x = 56,381.74 × 27,446.74
  4. Step 4: Simplify right side
    40,871.68x = 1,547,494,958.53
  5. Step 5: Solve for x
    x = 1,547,494,958.53/40,871.68
  6. Step 6: Final answer
    x = 37,862.28

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1.5x scale

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.