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Finding the Fourth Proportional to 38,465.40, 57,698.10 and 26,655.60

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Solution

The fourth proportional to 38,465.40, 57,698.10 and 26,655.60 is: 39,983.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,465.40 : 57,698.10 = 26,655.60 : x
  2. Step 2: Convert to fraction form
    38,465.40/57,698.10 = 26,655.60/x
  3. Step 3: Cross multiply
    38,465.40x = 57,698.10 × 26,655.60
  4. Step 4: Simplify right side
    38,465.40x = 1,537,977,474.36
  5. Step 5: Solve for x
    x = 1,537,977,474.36/38,465.40
  6. Step 6: Final answer
    x = 39,983.40

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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.