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Finding the Fourth Proportional to 46,978.92, 64,833.56 and 27,870.02

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Solution

The fourth proportional to 46,978.92, 64,833.56 and 27,870.02 is: 38,462.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,978.92 : 64,833.56 = 27,870.02 : x
  2. Step 2: Convert to fraction form
    46,978.92/64,833.56 = 27,870.02/x
  3. Step 3: Cross multiply
    46,978.92x = 64,833.56 × 27,870.02
  4. Step 4: Simplify right side
    46,978.92x = 1,806,912,150.35
  5. Step 5: Solve for x
    x = 1,806,912,150.35/46,978.92
  6. Step 6: Final answer
    x = 38,462.19

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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.