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Finding the Fourth Proportional to 101,683, 152,537.26 and 30,594.57

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Solution

The fourth proportional to 101,683, 152,537.26 and 30,594.57 is: 45,895.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,683 : 152,537.26 = 30,594.57 : x
  2. Step 2: Convert to fraction form
    101,683/152,537.26 = 30,594.57/x
  3. Step 3: Cross multiply
    101,683x = 152,537.26 × 30,594.57
  4. Step 4: Simplify right side
    101,683x = 4,666,810,963.02
  5. Step 5: Solve for x
    x = 4,666,810,963.02/101,683
  6. Step 6: Final answer
    x = 45,895.69

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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.