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Finding the Fourth Proportional to 38,807.16, 58,162.06 and 16,594.46

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Solution

The fourth proportional to 38,807.16, 58,162.06 and 16,594.46 is: 24,870.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,807.16 : 58,162.06 = 16,594.46 : x
  2. Step 2: Convert to fraction form
    38,807.16/58,162.06 = 16,594.46/x
  3. Step 3: Cross multiply
    38,807.16x = 58,162.06 × 16,594.46
  4. Step 4: Simplify right side
    38,807.16x = 965,167,978.19
  5. Step 5: Solve for x
    x = 965,167,978.19/38,807.16
  6. Step 6: Final answer
    x = 24,870.87

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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.