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Finding the Fourth Proportional to 60,140.48, 83,000 and 34,647.68

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Solution

The fourth proportional to 60,140.48, 83,000 and 34,647.68 is: 47,817.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,140.48 : 83,000 = 34,647.68 : x
  2. Step 2: Convert to fraction form
    60,140.48/83,000 = 34,647.68/x
  3. Step 3: Cross multiply
    60,140.48x = 83,000 × 34,647.68
  4. Step 4: Simplify right side
    60,140.48x = 2,875,757,440
  5. Step 5: Solve for x
    x = 2,875,757,440/60,140.48
  6. Step 6: Final answer
    x = 47,817.33

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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.