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Finding the Fourth Proportional to 83,058.39, 114,633.69 and 52,812.18

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Solution

The fourth proportional to 83,058.39, 114,633.69 and 52,812.18 is: 72,889.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,058.39 : 114,633.69 = 52,812.18 : x
  2. Step 2: Convert to fraction form
    83,058.39/114,633.69 = 52,812.18/x
  3. Step 3: Cross multiply
    83,058.39x = 114,633.69 × 52,812.18
  4. Step 4: Simplify right side
    83,058.39x = 6,054,055,070.34
  5. Step 5: Solve for x
    x = 6,054,055,070.34/83,058.39
  6. Step 6: Final answer
    x = 72,889.15

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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.