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Finding the Fourth Proportional to 47,016.64, 70,475.16 and 22,035.64

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Solution

The fourth proportional to 47,016.64, 70,475.16 and 22,035.64 is: 33,030.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,016.64 : 70,475.16 = 22,035.64 : x
  2. Step 2: Convert to fraction form
    47,016.64/70,475.16 = 22,035.64/x
  3. Step 3: Cross multiply
    47,016.64x = 70,475.16 × 22,035.64
  4. Step 4: Simplify right side
    47,016.64x = 1,552,965,254.70
  5. Step 5: Solve for x
    x = 1,552,965,254.70/47,016.64
  6. Step 6: Final answer
    x = 33,030.12

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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.