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Finding the Fourth Proportional to 60,533, 83,535.54 and 34,037

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Solution

The fourth proportional to 60,533, 83,535.54 and 34,037 is: 46,971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,533 : 83,535.54 = 34,037 : x
  2. Step 2: Convert to fraction form
    60,533/83,535.54 = 34,037/x
  3. Step 3: Cross multiply
    60,533x = 83,535.54 × 34,037
  4. Step 4: Simplify right side
    60,533x = 2,843,299,174.98
  5. Step 5: Solve for x
    x = 2,843,299,174.98/60,533
  6. Step 6: Final answer
    x = 46,971.06

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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.