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Finding the Fourth Proportional to 76,447.80, 114,671.70 and 57,785.40

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Solution

The fourth proportional to 76,447.80, 114,671.70 and 57,785.40 is: 86,678.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,447.80 : 114,671.70 = 57,785.40 : x
  2. Step 2: Convert to fraction form
    76,447.80/114,671.70 = 57,785.40/x
  3. Step 3: Cross multiply
    76,447.80x = 114,671.70 × 57,785.40
  4. Step 4: Simplify right side
    76,447.80x = 6,626,350,053.18
  5. Step 5: Solve for x
    x = 6,626,350,053.18/76,447.80
  6. Step 6: Final answer
    x = 86,678.10

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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.