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Finding the Fourth Proportional to 52,302.64, 78,738.52 and 47,652.52

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Solution

The fourth proportional to 52,302.64, 78,738.52 and 47,652.52 is: 71,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,302.64 : 78,738.52 = 47,652.52 : x
  2. Step 2: Convert to fraction form
    52,302.64/78,738.52 = 47,652.52/x
  3. Step 3: Cross multiply
    52,302.64x = 78,738.52 × 47,652.52
  4. Step 4: Simplify right side
    52,302.64x = 3,752,088,899.07
  5. Step 5: Solve for x
    x = 3,752,088,899.07/52,302.64
  6. Step 6: Final answer
    x = 71,738.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.