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Finding the Fourth Proportional to 59,657.76, 82,332 and 35,785.44

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Solution

The fourth proportional to 59,657.76, 82,332 and 35,785.44 is: 49,386.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,657.76 : 82,332 = 35,785.44 : x
  2. Step 2: Convert to fraction form
    59,657.76/82,332 = 35,785.44/x
  3. Step 3: Cross multiply
    59,657.76x = 82,332 × 35,785.44
  4. Step 4: Simplify right side
    59,657.76x = 2,946,286,846.08
  5. Step 5: Solve for x
    x = 2,946,286,846.08/59,657.76
  6. Step 6: Final answer
    x = 49,386.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.