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Finding the Fourth Proportional to 47,724.50, 65,859.81 and 27,852.50

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Solution

The fourth proportional to 47,724.50, 65,859.81 and 27,852.50 is: 38,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,724.50 : 65,859.81 = 27,852.50 : x
  2. Step 2: Convert to fraction form
    47,724.50/65,859.81 = 27,852.50/x
  3. Step 3: Cross multiply
    47,724.50x = 65,859.81 × 27,852.50
  4. Step 4: Simplify right side
    47,724.50x = 1,834,360,358.03
  5. Step 5: Solve for x
    x = 1,834,360,358.03/47,724.50
  6. Step 6: Final answer
    x = 38,436.45

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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.