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Finding the Fourth Proportional to 82,386.60, 113,697.30 and 46,578.12

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Solution

The fourth proportional to 82,386.60, 113,697.30 and 46,578.12 is: 64,279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,386.60 : 113,697.30 = 46,578.12 : x
  2. Step 2: Convert to fraction form
    82,386.60/113,697.30 = 46,578.12/x
  3. Step 3: Cross multiply
    82,386.60x = 113,697.30 × 46,578.12
  4. Step 4: Simplify right side
    82,386.60x = 5,295,806,483.08
  5. Step 5: Solve for x
    x = 5,295,806,483.08/82,386.60
  6. Step 6: Final answer
    x = 64,279.95

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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.