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Finding the Fourth Proportional to 35,101.40, 52,607.30 and 14,301.40

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Solution

The fourth proportional to 35,101.40, 52,607.30 and 14,301.40 is: 21,433.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,101.40 : 52,607.30 = 14,301.40 : x
  2. Step 2: Convert to fraction form
    35,101.40/52,607.30 = 14,301.40/x
  3. Step 3: Cross multiply
    35,101.40x = 52,607.30 × 14,301.40
  4. Step 4: Simplify right side
    35,101.40x = 752,358,040.22
  5. Step 5: Solve for x
    x = 752,358,040.22/35,101.40
  6. Step 6: Final answer
    x = 21,433.85

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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.