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Finding the Fourth Proportional to 60,815.04, 83,944.80 and 35,664

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Solution

The fourth proportional to 60,815.04, 83,944.80 and 35,664 is: 49,228.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,815.04 : 83,944.80 = 35,664 : x
  2. Step 2: Convert to fraction form
    60,815.04/83,944.80 = 35,664/x
  3. Step 3: Cross multiply
    60,815.04x = 83,944.80 × 35,664
  4. Step 4: Simplify right side
    60,815.04x = 2,993,807,347.20
  5. Step 5: Solve for x
    x = 2,993,807,347.20/60,815.04
  6. Step 6: Final answer
    x = 49,228.07

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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.