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Finding the Fourth Proportional to 77,642.76, 116,522 and 57,698.20

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Solution

The fourth proportional to 77,642.76, 116,522 and 57,698.20 is: 86,590.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,642.76 : 116,522 = 57,698.20 : x
  2. Step 2: Convert to fraction form
    77,642.76/116,522 = 57,698.20/x
  3. Step 3: Cross multiply
    77,642.76x = 116,522 × 57,698.20
  4. Step 4: Simplify right side
    77,642.76x = 6,723,109,660.40
  5. Step 5: Solve for x
    x = 6,723,109,660.40/77,642.76
  6. Step 6: Final answer
    x = 86,590.30

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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.