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Finding the Fourth Proportional to 82,918, 114,429.93 and 47,114.08

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Solution

The fourth proportional to 82,918, 114,429.93 and 47,114.08 is: 65,019.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,918 : 114,429.93 = 47,114.08 : x
  2. Step 2: Convert to fraction form
    82,918/114,429.93 = 47,114.08/x
  3. Step 3: Cross multiply
    82,918x = 114,429.93 × 47,114.08
  4. Step 4: Simplify right side
    82,918x = 5,391,260,876.41
  5. Step 5: Solve for x
    x = 5,391,260,876.41/82,918
  6. Step 6: Final answer
    x = 65,019.19

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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.