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Finding the Fourth Proportional to 83,085.17, 114,670.69 and 52,838.96

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Solution

The fourth proportional to 83,085.17, 114,670.69 and 52,838.96 is: 72,926.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,085.17 : 114,670.69 = 52,838.96 : x
  2. Step 2: Convert to fraction form
    83,085.17/114,670.69 = 52,838.96/x
  3. Step 3: Cross multiply
    83,085.17x = 114,670.69 × 52,838.96
  4. Step 4: Simplify right side
    83,085.17x = 6,059,079,296.63
  5. Step 5: Solve for x
    x = 6,059,079,296.63/83,085.17
  6. Step 6: Final answer
    x = 72,926.13

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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.