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Finding the Fourth Proportional to 83,299.59, 114,955.47 and 47,493

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Solution

The fourth proportional to 83,299.59, 114,955.47 and 47,493 is: 65,541.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,299.59 : 114,955.47 = 47,493 : x
  2. Step 2: Convert to fraction form
    83,299.59/114,955.47 = 47,493/x
  3. Step 3: Cross multiply
    83,299.59x = 114,955.47 × 47,493
  4. Step 4: Simplify right side
    83,299.59x = 5,459,580,136.71
  5. Step 5: Solve for x
    x = 5,459,580,136.71/83,299.59
  6. Step 6: Final answer
    x = 65,541.50

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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.