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Finding the Fourth Proportional to 82,833.60, 114,352.80 and 56,116.80

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Solution

The fourth proportional to 82,833.60, 114,352.80 and 56,116.80 is: 77,469.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,833.60 : 114,352.80 = 56,116.80 : x
  2. Step 2: Convert to fraction form
    82,833.60/114,352.80 = 56,116.80/x
  3. Step 3: Cross multiply
    82,833.60x = 114,352.80 × 56,116.80
  4. Step 4: Simplify right side
    82,833.60x = 6,417,113,207.04
  5. Step 5: Solve for x
    x = 6,417,113,207.04/82,833.60
  6. Step 6: Final answer
    x = 77,469.93

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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.