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Finding the Fourth Proportional to 51,854.92, 77,798.72 and 16,314.80

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Solution

The fourth proportional to 51,854.92, 77,798.72 and 16,314.80 is: 24,477.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,854.92 : 77,798.72 = 16,314.80 : x
  2. Step 2: Convert to fraction form
    51,854.92/77,798.72 = 16,314.80/x
  3. Step 3: Cross multiply
    51,854.92x = 77,798.72 × 16,314.80
  4. Step 4: Simplify right side
    51,854.92x = 1,269,270,557.06
  5. Step 5: Solve for x
    x = 1,269,270,557.06/51,854.92
  6. Step 6: Final answer
    x = 24,477.34

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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.