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Finding the Fourth Proportional to 47,744.92, 65,866.80 and 31,813.84

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Solution

The fourth proportional to 47,744.92, 65,866.80 and 31,813.84 is: 43,888.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,744.92 : 65,866.80 = 31,813.84 : x
  2. Step 2: Convert to fraction form
    47,744.92/65,866.80 = 31,813.84/x
  3. Step 3: Cross multiply
    47,744.92x = 65,866.80 × 31,813.84
  4. Step 4: Simplify right side
    47,744.92x = 2,095,475,836.51
  5. Step 5: Solve for x
    x = 2,095,475,836.51/47,744.92
  6. Step 6: Final answer
    x = 43,888.98

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1.5x scale

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.