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Finding the Fourth Proportional to 42,206.57, 58,263 and 26,298.88

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Solution

The fourth proportional to 42,206.57, 58,263 and 26,298.88 is: 36,303.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,206.57 : 58,263 = 26,298.88 : x
  2. Step 2: Convert to fraction form
    42,206.57/58,263 = 26,298.88/x
  3. Step 3: Cross multiply
    42,206.57x = 58,263 × 26,298.88
  4. Step 4: Simplify right side
    42,206.57x = 1,532,251,645.44
  5. Step 5: Solve for x
    x = 1,532,251,645.44/42,206.57
  6. Step 6: Final answer
    x = 36,303.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.