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Finding the Fourth Proportional to 51,854.75, 77,782.13 and 14,918.75

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Solution

The fourth proportional to 51,854.75, 77,782.13 and 14,918.75 is: 22,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,854.75 : 77,782.13 = 14,918.75 : x
  2. Step 2: Convert to fraction form
    51,854.75/77,782.13 = 14,918.75/x
  3. Step 3: Cross multiply
    51,854.75x = 77,782.13 × 14,918.75
  4. Step 4: Simplify right side
    51,854.75x = 1,160,412,077.34
  5. Step 5: Solve for x
    x = 1,160,412,077.34/51,854.75
  6. Step 6: Final answer
    x = 22,378.13

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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.