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Finding the Fourth Proportional to 38,114.00, 52,594.96 and 22,384.51

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Solution

The fourth proportional to 38,114.00, 52,594.96 and 22,384.51 is: 30,889.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,114.00 : 52,594.96 = 22,384.51 : x
  2. Step 2: Convert to fraction form
    38,114.00/52,594.96 = 22,384.51/x
  3. Step 3: Cross multiply
    38,114.00x = 52,594.96 × 22,384.51
  4. Step 4: Simplify right side
    38,114.00x = 1,177,312,600.92
  5. Step 5: Solve for x
    x = 1,177,312,600.92/38,114.00
  6. Step 6: Final answer
    x = 30,889.24

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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.