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Finding the Fourth Proportional to 42,192, 58,226.04 and 25,426.08

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Solution

The fourth proportional to 42,192, 58,226.04 and 25,426.08 is: 35,088.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,192 : 58,226.04 = 25,426.08 : x
  2. Step 2: Convert to fraction form
    42,192/58,226.04 = 25,426.08/x
  3. Step 3: Cross multiply
    42,192x = 58,226.04 × 25,426.08
  4. Step 4: Simplify right side
    42,192x = 1,480,459,951.12
  5. Step 5: Solve for x
    x = 1,480,459,951.12/42,192
  6. Step 6: Final answer
    x = 35,088.64

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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.