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Finding the Fourth Proportional to 82,210.80, 123,242.04 and 29,583.12

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Solution

The fourth proportional to 82,210.80, 123,242.04 and 29,583.12 is: 44,347.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,210.80 : 123,242.04 = 29,583.12 : x
  2. Step 2: Convert to fraction form
    82,210.80/123,242.04 = 29,583.12/x
  3. Step 3: Cross multiply
    82,210.80x = 123,242.04 × 29,583.12
  4. Step 4: Simplify right side
    82,210.80x = 3,645,884,058.36
  5. Step 5: Solve for x
    x = 3,645,884,058.36/82,210.80
  6. Step 6: Final answer
    x = 44,347.99

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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.