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Finding the Fourth Proportional to 60,567, 83,582.70 and 34,071

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Solution

The fourth proportional to 60,567, 83,582.70 and 34,071 is: 47,018.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,567 : 83,582.70 = 34,071 : x
  2. Step 2: Convert to fraction form
    60,567/83,582.70 = 34,071/x
  3. Step 3: Cross multiply
    60,567x = 83,582.70 × 34,071
  4. Step 4: Simplify right side
    60,567x = 2,847,746,171.70
  5. Step 5: Solve for x
    x = 2,847,746,171.70/60,567
  6. Step 6: Final answer
    x = 47,018.12

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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.