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Finding the Fourth Proportional to 101,916.99, 152,816.63 and 39,514.59

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Solution

The fourth proportional to 101,916.99, 152,816.63 and 39,514.59 is: 59,249.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,916.99 : 152,816.63 = 39,514.59 : x
  2. Step 2: Convert to fraction form
    101,916.99/152,816.63 = 39,514.59/x
  3. Step 3: Cross multiply
    101,916.99x = 152,816.63 × 39,514.59
  4. Step 4: Simplify right side
    101,916.99x = 6,038,486,282.06
  5. Step 5: Solve for x
    x = 6,038,486,282.06/101,916.99
  6. Step 6: Final answer
    x = 59,249.06

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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.