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Finding the Fourth Proportional to 52,657.84, 72,667.74 and 31,449.52

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Solution

The fourth proportional to 52,657.84, 72,667.74 and 31,449.52 is: 43,400.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,657.84 : 72,667.74 = 31,449.52 : x
  2. Step 2: Convert to fraction form
    52,657.84/72,667.74 = 31,449.52/x
  3. Step 3: Cross multiply
    52,657.84x = 72,667.74 × 31,449.52
  4. Step 4: Simplify right side
    52,657.84x = 2,285,365,542.48
  5. Step 5: Solve for x
    x = 2,285,365,542.48/52,657.84
  6. Step 6: Final answer
    x = 43,400.29

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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.