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Finding the Fourth Proportional to 101,513.52, 152,288.78 and 34,038.90

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Solution

The fourth proportional to 101,513.52, 152,288.78 and 34,038.90 is: 51,064.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,513.52 : 152,288.78 = 34,038.90 : x
  2. Step 2: Convert to fraction form
    101,513.52/152,288.78 = 34,038.90/x
  3. Step 3: Cross multiply
    101,513.52x = 152,288.78 × 34,038.90
  4. Step 4: Simplify right side
    101,513.52x = 5,183,742,383.35
  5. Step 5: Solve for x
    x = 5,183,742,383.35/101,513.52
  6. Step 6: Final answer
    x = 51,064.55

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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.