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Finding the Fourth Proportional to 83,047.50, 114,607.17 and 49,513.50

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Solution

The fourth proportional to 83,047.50, 114,607.17 and 49,513.50 is: 68,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,047.50 : 114,607.17 = 49,513.50 : x
  2. Step 2: Convert to fraction form
    83,047.50/114,607.17 = 49,513.50/x
  3. Step 3: Cross multiply
    83,047.50x = 114,607.17 × 49,513.50
  4. Step 4: Simplify right side
    83,047.50x = 5,674,602,111.80
  5. Step 5: Solve for x
    x = 5,674,602,111.80/83,047.50
  6. Step 6: Final answer
    x = 68,329.60

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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.