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Finding the Fourth Proportional to 82,068.39, 113,303.21 and 53,823.29

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Solution

The fourth proportional to 82,068.39, 113,303.21 and 53,823.29 is: 74,308.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,068.39 : 113,303.21 = 53,823.29 : x
  2. Step 2: Convert to fraction form
    82,068.39/113,303.21 = 53,823.29/x
  3. Step 3: Cross multiply
    82,068.39x = 113,303.21 × 53,823.29
  4. Step 4: Simplify right side
    82,068.39x = 6,098,350,694.13
  5. Step 5: Solve for x
    x = 6,098,350,694.13/82,068.39
  6. Step 6: Final answer
    x = 74,308.16

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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.