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Finding the Fourth Proportional to 82,394.10, 113,710.95 and 46,590.48

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Solution

The fourth proportional to 82,394.10, 113,710.95 and 46,590.48 is: 64,298.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,394.10 : 113,710.95 = 46,590.48 : x
  2. Step 2: Convert to fraction form
    82,394.10/113,710.95 = 46,590.48/x
  3. Step 3: Cross multiply
    82,394.10x = 113,710.95 × 46,590.48
  4. Step 4: Simplify right side
    82,394.10x = 5,297,847,741.76
  5. Step 5: Solve for x
    x = 5,297,847,741.76/82,394.10
  6. Step 6: Final answer
    x = 64,298.87

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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.