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Finding the Fourth Proportional to 82,294.32, 113,560.74 and 46,488

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Solution

The fourth proportional to 82,294.32, 113,560.74 and 46,488 is: 64,150.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,294.32 : 113,560.74 = 46,488 : x
  2. Step 2: Convert to fraction form
    82,294.32/113,560.74 = 46,488/x
  3. Step 3: Cross multiply
    82,294.32x = 113,560.74 × 46,488
  4. Step 4: Simplify right side
    82,294.32x = 5,279,211,681.12
  5. Step 5: Solve for x
    x = 5,279,211,681.12/82,294.32
  6. Step 6: Final answer
    x = 64,150.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.