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Finding the Fourth Proportional to 61,748.70, 85,208.45 and 34,894.16

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Solution

The fourth proportional to 61,748.70, 85,208.45 and 34,894.16 is: 48,151.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,748.70 : 85,208.45 = 34,894.16 : x
  2. Step 2: Convert to fraction form
    61,748.70/85,208.45 = 34,894.16/x
  3. Step 3: Cross multiply
    61,748.70x = 85,208.45 × 34,894.16
  4. Step 4: Simplify right side
    61,748.70x = 2,973,276,687.14
  5. Step 5: Solve for x
    x = 2,973,276,687.14/61,748.70
  6. Step 6: Final answer
    x = 48,151.24

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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.