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Finding the Fourth Proportional to 56,381.74, 84,572.51 and 24,784.25

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Solution

The fourth proportional to 56,381.74, 84,572.51 and 24,784.25 is: 37,176.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,381.74 : 84,572.51 = 24,784.25 : x
  2. Step 2: Convert to fraction form
    56,381.74/84,572.51 = 24,784.25/x
  3. Step 3: Cross multiply
    56,381.74x = 84,572.51 × 24,784.25
  4. Step 4: Simplify right side
    56,381.74x = 2,096,065,684.18
  5. Step 5: Solve for x
    x = 2,096,065,684.18/56,381.74
  6. Step 6: Final answer
    x = 37,176.32

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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.