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Finding the Fourth Proportional to 82,856.16, 114,341.76 and 49,320

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Solution

The fourth proportional to 82,856.16, 114,341.76 and 49,320 is: 68,061.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,856.16 : 114,341.76 = 49,320 : x
  2. Step 2: Convert to fraction form
    82,856.16/114,341.76 = 49,320/x
  3. Step 3: Cross multiply
    82,856.16x = 114,341.76 × 49,320
  4. Step 4: Simplify right side
    82,856.16x = 5,639,335,603.20
  5. Step 5: Solve for x
    x = 5,639,335,603.20/82,856.16
  6. Step 6: Final answer
    x = 68,061.75

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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.