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Finding the Fourth Proportional to 52,167.85, 78,256.46 and 14,728.30

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Solution

The fourth proportional to 52,167.85, 78,256.46 and 14,728.30 is: 22,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,167.85 : 78,256.46 = 14,728.30 : x
  2. Step 2: Convert to fraction form
    52,167.85/78,256.46 = 14,728.30/x
  3. Step 3: Cross multiply
    52,167.85x = 78,256.46 × 14,728.30
  4. Step 4: Simplify right side
    52,167.85x = 1,152,584,461.00
  5. Step 5: Solve for x
    x = 1,152,584,461.00/52,167.85
  6. Step 6: Final answer
    x = 22,093.77

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1.5x scale

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.