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Finding the Fourth Proportional to 60,411.92, 83,362.24 and 35,276

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Solution

The fourth proportional to 60,411.92, 83,362.24 and 35,276 is: 48,677.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,411.92 : 83,362.24 = 35,276 : x
  2. Step 2: Convert to fraction form
    60,411.92/83,362.24 = 35,276/x
  3. Step 3: Cross multiply
    60,411.92x = 83,362.24 × 35,276
  4. Step 4: Simplify right side
    60,411.92x = 2,940,686,378.24
  5. Step 5: Solve for x
    x = 2,940,686,378.24/60,411.92
  6. Step 6: Final answer
    x = 48,677.25

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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.