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Finding the Fourth Proportional to 83,523.84, 115,263.36 and 45,283.68

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Solution

The fourth proportional to 83,523.84, 115,263.36 and 45,283.68 is: 62,491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,523.84 : 115,263.36 = 45,283.68 : x
  2. Step 2: Convert to fraction form
    83,523.84/115,263.36 = 45,283.68/x
  3. Step 3: Cross multiply
    83,523.84x = 115,263.36 × 45,283.68
  4. Step 4: Simplify right side
    83,523.84x = 5,219,549,109.96
  5. Step 5: Solve for x
    x = 5,219,549,109.96/83,523.84
  6. Step 6: Final answer
    x = 62,491.73

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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.