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Finding the Fourth Proportional to 83,176.64, 114,783.63 and 47,366.67

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Solution

The fourth proportional to 83,176.64, 114,783.63 and 47,366.67 is: 65,365.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,176.64 : 114,783.63 = 47,366.67 : x
  2. Step 2: Convert to fraction form
    83,176.64/114,783.63 = 47,366.67/x
  3. Step 3: Cross multiply
    83,176.64x = 114,783.63 × 47,366.67
  4. Step 4: Simplify right side
    83,176.64x = 5,436,918,323.61
  5. Step 5: Solve for x
    x = 5,436,918,323.61/83,176.64
  6. Step 6: Final answer
    x = 65,365.93

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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.