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Finding the Fourth Proportional to 57,810.61, 86,748.72 and 22,774.87

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Solution

The fourth proportional to 57,810.61, 86,748.72 and 22,774.87 is: 34,175.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,810.61 : 86,748.72 = 22,774.87 : x
  2. Step 2: Convert to fraction form
    57,810.61/86,748.72 = 22,774.87/x
  3. Step 3: Cross multiply
    57,810.61x = 86,748.72 × 22,774.87
  4. Step 4: Simplify right side
    57,810.61x = 1,975,690,971.81
  5. Step 5: Solve for x
    x = 1,975,690,971.81/57,810.61
  6. Step 6: Final answer
    x = 34,175.23

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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.