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Finding the Fourth Proportional to 47,301.87, 70,971.74 and 19,224.08

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Solution

The fourth proportional to 47,301.87, 70,971.74 and 19,224.08 is: 28,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,301.87 : 70,971.74 = 19,224.08 : x
  2. Step 2: Convert to fraction form
    47,301.87/70,971.74 = 19,224.08/x
  3. Step 3: Cross multiply
    47,301.87x = 70,971.74 × 19,224.08
  4. Step 4: Simplify right side
    47,301.87x = 1,364,366,802.11
  5. Step 5: Solve for x
    x = 1,364,366,802.11/47,301.87
  6. Step 6: Final answer
    x = 28,843.82

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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.