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Finding the Fourth Proportional to 39,780.59, 59,667.75 and 23,130

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Solution

The fourth proportional to 39,780.59, 59,667.75 and 23,130 is: 34,693.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,780.59 : 59,667.75 = 23,130 : x
  2. Step 2: Convert to fraction form
    39,780.59/59,667.75 = 23,130/x
  3. Step 3: Cross multiply
    39,780.59x = 59,667.75 × 23,130
  4. Step 4: Simplify right side
    39,780.59x = 1,380,115,057.50
  5. Step 5: Solve for x
    x = 1,380,115,057.50/39,780.59
  6. Step 6: Final answer
    x = 34,693.18

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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.