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Finding the Fourth Proportional to 26,041.70, 39,064.86 and 7,321.90

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Solution

The fourth proportional to 26,041.70, 39,064.86 and 7,321.90 is: 10,983.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,041.70 : 39,064.86 = 7,321.90 : x
  2. Step 2: Convert to fraction form
    26,041.70/39,064.86 = 7,321.90/x
  3. Step 3: Cross multiply
    26,041.70x = 39,064.86 × 7,321.90
  4. Step 4: Simplify right side
    26,041.70x = 286,029,038.11
  5. Step 5: Solve for x
    x = 286,029,038.11/26,041.70
  6. Step 6: Final answer
    x = 10,983.50

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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.