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Finding the Fourth Proportional to 38,595.40, 57,895.80 and 16,406.26

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Solution

The fourth proportional to 38,595.40, 57,895.80 and 16,406.26 is: 24,610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,595.40 : 57,895.80 = 16,406.26 : x
  2. Step 2: Convert to fraction form
    38,595.40/57,895.80 = 16,406.26/x
  3. Step 3: Cross multiply
    38,595.40x = 57,895.80 × 16,406.26
  4. Step 4: Simplify right side
    38,595.40x = 949,853,547.71
  5. Step 5: Solve for x
    x = 949,853,547.71/38,595.40
  6. Step 6: Final answer
    x = 24,610.54

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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.