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Finding the Fourth Proportional to 101,805.51, 152,708.27 and 31,684.85

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Solution

The fourth proportional to 101,805.51, 152,708.27 and 31,684.85 is: 47,527.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,805.51 : 152,708.27 = 31,684.85 : x
  2. Step 2: Convert to fraction form
    101,805.51/152,708.27 = 31,684.85/x
  3. Step 3: Cross multiply
    101,805.51x = 152,708.27 × 31,684.85
  4. Step 4: Simplify right side
    101,805.51x = 4,838,538,628.71
  5. Step 5: Solve for x
    x = 4,838,538,628.71/101,805.51
  6. Step 6: Final answer
    x = 47,527.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.