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Finding the Fourth Proportional to 37,465.80, 51,702.84 and 20,470.20

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Solution

The fourth proportional to 37,465.80, 51,702.84 and 20,470.20 is: 28,248.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,465.80 : 51,702.84 = 20,470.20 : x
  2. Step 2: Convert to fraction form
    37,465.80/51,702.84 = 20,470.20/x
  3. Step 3: Cross multiply
    37,465.80x = 51,702.84 × 20,470.20
  4. Step 4: Simplify right side
    37,465.80x = 1,058,367,475.37
  5. Step 5: Solve for x
    x = 1,058,367,475.37/37,465.80
  6. Step 6: Final answer
    x = 28,248.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.