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Finding the Fourth Proportional to 51,506.82, 77,260.95 and 14,570.82

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Solution

The fourth proportional to 51,506.82, 77,260.95 and 14,570.82 is: 21,856.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,506.82 : 77,260.95 = 14,570.82 : x
  2. Step 2: Convert to fraction form
    51,506.82/77,260.95 = 14,570.82/x
  3. Step 3: Cross multiply
    51,506.82x = 77,260.95 × 14,570.82
  4. Step 4: Simplify right side
    51,506.82x = 1,125,755,395.48
  5. Step 5: Solve for x
    x = 1,125,755,395.48/51,506.82
  6. Step 6: Final answer
    x = 21,856.43

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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.