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Finding the Fourth Proportional to 84,566.24, 116,675.16 and 48,751.64

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Solution

The fourth proportional to 84,566.24, 116,675.16 and 48,751.64 is: 67,262.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,566.24 : 116,675.16 = 48,751.64 : x
  2. Step 2: Convert to fraction form
    84,566.24/116,675.16 = 48,751.64/x
  3. Step 3: Cross multiply
    84,566.24x = 116,675.16 × 48,751.64
  4. Step 4: Simplify right side
    84,566.24x = 5,688,105,397.26
  5. Step 5: Solve for x
    x = 5,688,105,397.26/84,566.24
  6. Step 6: Final answer
    x = 67,262.13

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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.