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Finding the Fourth Proportional to 55,216.60, 82,838.70 and 17,780.20

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Solution

The fourth proportional to 55,216.60, 82,838.70 and 17,780.20 is: 26,674.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,216.60 : 82,838.70 = 17,780.20 : x
  2. Step 2: Convert to fraction form
    55,216.60/82,838.70 = 17,780.20/x
  3. Step 3: Cross multiply
    55,216.60x = 82,838.70 × 17,780.20
  4. Step 4: Simplify right side
    55,216.60x = 1,472,888,653.74
  5. Step 5: Solve for x
    x = 1,472,888,653.74/55,216.60
  6. Step 6: Final answer
    x = 26,674.74

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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.