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Finding the Fourth Proportional to 47,792.68, 65,917.38 and 42,420.76

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Solution

The fourth proportional to 47,792.68, 65,917.38 and 42,420.76 is: 58,508.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,792.68 : 65,917.38 = 42,420.76 : x
  2. Step 2: Convert to fraction form
    47,792.68/65,917.38 = 42,420.76/x
  3. Step 3: Cross multiply
    47,792.68x = 65,917.38 × 42,420.76
  4. Step 4: Simplify right side
    47,792.68x = 2,796,265,356.81
  5. Step 5: Solve for x
    x = 2,796,265,356.81/47,792.68
  6. Step 6: Final answer
    x = 58,508.24

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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.