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Finding the Fourth Proportional to 56,531.40, 84,797.10 and 14,978.40

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Solution

The fourth proportional to 56,531.40, 84,797.10 and 14,978.40 is: 22,467.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,531.40 : 84,797.10 = 14,978.40 : x
  2. Step 2: Convert to fraction form
    56,531.40/84,797.10 = 14,978.40/x
  3. Step 3: Cross multiply
    56,531.40x = 84,797.10 × 14,978.40
  4. Step 4: Simplify right side
    56,531.40x = 1,270,124,882.64
  5. Step 5: Solve for x
    x = 1,270,124,882.64/56,531.40
  6. Step 6: Final answer
    x = 22,467.60

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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.