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Finding the Fourth Proportional to 82,894.96, 114,391.47 and 47,084.86

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Solution

The fourth proportional to 82,894.96, 114,391.47 and 47,084.86 is: 64,975.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,894.96 : 114,391.47 = 47,084.86 : x
  2. Step 2: Convert to fraction form
    82,894.96/114,391.47 = 47,084.86/x
  3. Step 3: Cross multiply
    82,894.96x = 114,391.47 × 47,084.86
  4. Step 4: Simplify right side
    82,894.96x = 5,386,106,350.14
  5. Step 5: Solve for x
    x = 5,386,106,350.14/82,894.96
  6. Step 6: Final answer
    x = 64,975.08

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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.