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Finding the Fourth Proportional to 52,287.60, 78,419.64 and 14,846.88

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Solution

The fourth proportional to 52,287.60, 78,419.64 and 14,846.88 is: 22,266.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,287.60 : 78,419.64 = 14,846.88 : x
  2. Step 2: Convert to fraction form
    52,287.60/78,419.64 = 14,846.88/x
  3. Step 3: Cross multiply
    52,287.60x = 78,419.64 × 14,846.88
  4. Step 4: Simplify right side
    52,287.60x = 1,164,286,984.72
  5. Step 5: Solve for x
    x = 1,164,286,984.72/52,287.60
  6. Step 6: Final answer
    x = 22,266.98

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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.