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Finding the Fourth Proportional to 42,181, 58,210.74 and 27,302.92

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Solution

The fourth proportional to 42,181, 58,210.74 and 27,302.92 is: 37,678.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,181 : 58,210.74 = 27,302.92 : x
  2. Step 2: Convert to fraction form
    42,181/58,210.74 = 27,302.92/x
  3. Step 3: Cross multiply
    42,181x = 58,210.74 × 27,302.92
  4. Step 4: Simplify right side
    42,181x = 1,589,323,177.36
  5. Step 5: Solve for x
    x = 1,589,323,177.36/42,181
  6. Step 6: Final answer
    x = 37,678.65

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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.