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Finding the Fourth Proportional to 82,122.40, 113,339.28 and 46,314.40

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Solution

The fourth proportional to 82,122.40, 113,339.28 and 46,314.40 is: 63,919.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,122.40 : 113,339.28 = 46,314.40 : x
  2. Step 2: Convert to fraction form
    82,122.40/113,339.28 = 46,314.40/x
  3. Step 3: Cross multiply
    82,122.40x = 113,339.28 × 46,314.40
  4. Step 4: Simplify right side
    82,122.40x = 5,249,240,749.63
  5. Step 5: Solve for x
    x = 5,249,240,749.63/82,122.40
  6. Step 6: Final answer
    x = 63,919.72

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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.