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Finding the Fourth Proportional to 35,050, 48,373.48 and 23,138.16

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Solution

The fourth proportional to 35,050, 48,373.48 and 23,138.16 is: 31,933.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,050 : 48,373.48 = 23,138.16 : x
  2. Step 2: Convert to fraction form
    35,050/48,373.48 = 23,138.16/x
  3. Step 3: Cross multiply
    35,050x = 48,373.48 × 23,138.16
  4. Step 4: Simplify right side
    35,050x = 1,119,273,320.00
  5. Step 5: Solve for x
    x = 1,119,273,320.00/35,050
  6. Step 6: Final answer
    x = 31,933.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.