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Finding the Fourth Proportional to 75,705.74, 113,472.50 and 46,058.22

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Solution

The fourth proportional to 75,705.74, 113,472.50 and 46,058.22 is: 69,034.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,705.74 : 113,472.50 = 46,058.22 : x
  2. Step 2: Convert to fraction form
    75,705.74/113,472.50 = 46,058.22/x
  3. Step 3: Cross multiply
    75,705.74x = 113,472.50 × 46,058.22
  4. Step 4: Simplify right side
    75,705.74x = 5,226,341,138.66
  5. Step 5: Solve for x
    x = 5,226,341,138.66/75,705.74
  6. Step 6: Final answer
    x = 69,034.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.