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Finding the Fourth Proportional to 56,687.60, 85,031.40 and 14,567.60

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Solution

The fourth proportional to 56,687.60, 85,031.40 and 14,567.60 is: 21,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,687.60 : 85,031.40 = 14,567.60 : x
  2. Step 2: Convert to fraction form
    56,687.60/85,031.40 = 14,567.60/x
  3. Step 3: Cross multiply
    56,687.60x = 85,031.40 × 14,567.60
  4. Step 4: Simplify right side
    56,687.60x = 1,238,703,422.64
  5. Step 5: Solve for x
    x = 1,238,703,422.64/56,687.60
  6. Step 6: Final answer
    x = 21,851.40

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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.