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Finding the Fourth Proportional to 37,854.40, 56,787.60 and 12,896.80

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Solution

The fourth proportional to 37,854.40, 56,787.60 and 12,896.80 is: 19,347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,854.40 : 56,787.60 = 12,896.80 : x
  2. Step 2: Convert to fraction form
    37,854.40/56,787.60 = 12,896.80/x
  3. Step 3: Cross multiply
    37,854.40x = 56,787.60 × 12,896.80
  4. Step 4: Simplify right side
    37,854.40x = 732,378,319.68
  5. Step 5: Solve for x
    x = 732,378,319.68/37,854.40
  6. Step 6: Final answer
    x = 19,347.24

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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.