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Finding the Fourth Proportional to 31,373.52, 47,068.44 and 11,657.76

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Solution

The fourth proportional to 31,373.52, 47,068.44 and 11,657.76 is: 17,489.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,373.52 : 47,068.44 = 11,657.76 : x
  2. Step 2: Convert to fraction form
    31,373.52/47,068.44 = 11,657.76/x
  3. Step 3: Cross multiply
    31,373.52x = 47,068.44 × 11,657.76
  4. Step 4: Simplify right side
    31,373.52x = 548,712,577.09
  5. Step 5: Solve for x
    x = 548,712,577.09/31,373.52
  6. Step 6: Final answer
    x = 17,489.67

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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.