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Finding the Fourth Proportional to 84,307.01, 116,348.09 and 48,502.40

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Solution

The fourth proportional to 84,307.01, 116,348.09 and 48,502.40 is: 66,935.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,307.01 : 116,348.09 = 48,502.40 : x
  2. Step 2: Convert to fraction form
    84,307.01/116,348.09 = 48,502.40/x
  3. Step 3: Cross multiply
    84,307.01x = 116,348.09 × 48,502.40
  4. Step 4: Simplify right side
    84,307.01x = 5,643,160,776.16
  5. Step 5: Solve for x
    x = 5,643,160,776.16/84,307.01
  6. Step 6: Final answer
    x = 66,935.85

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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.