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Finding the Fourth Proportional to 51,752.30, 77,628.45 and 48,471.80

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Solution

The fourth proportional to 51,752.30, 77,628.45 and 48,471.80 is: 72,707.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,752.30 : 77,628.45 = 48,471.80 : x
  2. Step 2: Convert to fraction form
    51,752.30/77,628.45 = 48,471.80/x
  3. Step 3: Cross multiply
    51,752.30x = 77,628.45 × 48,471.80
  4. Step 4: Simplify right side
    51,752.30x = 3,762,790,702.71
  5. Step 5: Solve for x
    x = 3,762,790,702.71/51,752.30
  6. Step 6: Final answer
    x = 72,707.70

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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.