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Finding the Fourth Proportional to 49,931, 68,904.84 and 27,575

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Solution

The fourth proportional to 49,931, 68,904.84 and 27,575 is: 38,053.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,931 : 68,904.84 = 27,575 : x
  2. Step 2: Convert to fraction form
    49,931/68,904.84 = 27,575/x
  3. Step 3: Cross multiply
    49,931x = 68,904.84 × 27,575
  4. Step 4: Simplify right side
    49,931x = 1,900,050,963
  5. Step 5: Solve for x
    x = 1,900,050,963/49,931
  6. Step 6: Final answer
    x = 38,053.53

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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.