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Finding the Fourth Proportional to 51,453.68, 77,566.12 and 48,024.50

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Solution

The fourth proportional to 51,453.68, 77,566.12 and 48,024.50 is: 72,396.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,453.68 : 77,566.12 = 48,024.50 : x
  2. Step 2: Convert to fraction form
    51,453.68/77,566.12 = 48,024.50/x
  3. Step 3: Cross multiply
    51,453.68x = 77,566.12 × 48,024.50
  4. Step 4: Simplify right side
    51,453.68x = 3,725,074,129.94
  5. Step 5: Solve for x
    x = 3,725,074,129.94/51,453.68
  6. Step 6: Final answer
    x = 72,396.65

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1.5x scale

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.