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Finding the Fourth Proportional to 84,032.25, 115,965.72 and 46,306.50

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Solution

The fourth proportional to 84,032.25, 115,965.72 and 46,306.50 is: 63,903.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,032.25 : 115,965.72 = 46,306.50 : x
  2. Step 2: Convert to fraction form
    84,032.25/115,965.72 = 46,306.50/x
  3. Step 3: Cross multiply
    84,032.25x = 115,965.72 × 46,306.50
  4. Step 4: Simplify right side
    84,032.25x = 5,369,966,613.18
  5. Step 5: Solve for x
    x = 5,369,966,613.18/84,032.25
  6. Step 6: Final answer
    x = 63,903.64

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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.