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Finding the Fourth Proportional to 38,004, 52,443.96 and 22,088.32

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Solution

The fourth proportional to 38,004, 52,443.96 and 22,088.32 is: 30,480.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,004 : 52,443.96 = 22,088.32 : x
  2. Step 2: Convert to fraction form
    38,004/52,443.96 = 22,088.32/x
  3. Step 3: Cross multiply
    38,004x = 52,443.96 × 22,088.32
  4. Step 4: Simplify right side
    38,004x = 1,158,398,970.55
  5. Step 5: Solve for x
    x = 1,158,398,970.55/38,004
  6. Step 6: Final answer
    x = 30,480.97

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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.