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Finding the Fourth Proportional to 82,856.40, 114,341.76 and 45,130.68

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Solution

The fourth proportional to 82,856.40, 114,341.76 and 45,130.68 is: 62,280.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,856.40 : 114,341.76 = 45,130.68 : x
  2. Step 2: Convert to fraction form
    82,856.40/114,341.76 = 45,130.68/x
  3. Step 3: Cross multiply
    82,856.40x = 114,341.76 × 45,130.68
  4. Step 4: Simplify right side
    82,856.40x = 5,160,321,381.20
  5. Step 5: Solve for x
    x = 5,160,321,381.20/82,856.40
  6. Step 6: Final answer
    x = 62,280.30

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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.