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Finding the Fourth Proportional to 76,856, 106,061.28 and 41,528

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Solution

The fourth proportional to 76,856, 106,061.28 and 41,528 is: 57,308.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,856 : 106,061.28 = 41,528 : x
  2. Step 2: Convert to fraction form
    76,856/106,061.28 = 41,528/x
  3. Step 3: Cross multiply
    76,856x = 106,061.28 × 41,528
  4. Step 4: Simplify right side
    76,856x = 4,404,512,835.84
  5. Step 5: Solve for x
    x = 4,404,512,835.84/76,856
  6. Step 6: Final answer
    x = 57,308.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.