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Finding the Fourth Proportional to 97,833.92, 146,760.48 and 35,509.28

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Solution

The fourth proportional to 97,833.92, 146,760.48 and 35,509.28 is: 53,267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,833.92 : 146,760.48 = 35,509.28 : x
  2. Step 2: Convert to fraction form
    97,833.92/146,760.48 = 35,509.28/x
  3. Step 3: Cross multiply
    97,833.92x = 146,760.48 × 35,509.28
  4. Step 4: Simplify right side
    97,833.92x = 5,211,358,977.25
  5. Step 5: Solve for x
    x = 5,211,358,977.25/97,833.92
  6. Step 6: Final answer
    x = 53,267.40

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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.