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Finding the Fourth Proportional to 76,428.80, 114,643.20 and 57,766.40

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Solution

The fourth proportional to 76,428.80, 114,643.20 and 57,766.40 is: 86,649.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,428.80 : 114,643.20 = 57,766.40 : x
  2. Step 2: Convert to fraction form
    76,428.80/114,643.20 = 57,766.40/x
  3. Step 3: Cross multiply
    76,428.80x = 114,643.20 × 57,766.40
  4. Step 4: Simplify right side
    76,428.80x = 6,622,524,948.48
  5. Step 5: Solve for x
    x = 6,622,524,948.48/76,428.80
  6. Step 6: Final answer
    x = 86,649.60

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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.