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Finding the Fourth Proportional to 82,253.16, 113,503.14 and 46,438.20

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Solution

The fourth proportional to 82,253.16, 113,503.14 and 46,438.20 is: 64,081.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,253.16 : 113,503.14 = 46,438.20 : x
  2. Step 2: Convert to fraction form
    82,253.16/113,503.14 = 46,438.20/x
  3. Step 3: Cross multiply
    82,253.16x = 113,503.14 × 46,438.20
  4. Step 4: Simplify right side
    82,253.16x = 5,270,881,515.95
  5. Step 5: Solve for x
    x = 5,270,881,515.95/82,253.16
  6. Step 6: Final answer
    x = 64,081.20

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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.