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Finding the Fourth Proportional to 35,718.83, 53,572.98 and 9,425.42

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Solution

The fourth proportional to 35,718.83, 53,572.98 and 9,425.42 is: 14,136.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,718.83 : 53,572.98 = 9,425.42 : x
  2. Step 2: Convert to fraction form
    35,718.83/53,572.98 = 9,425.42/x
  3. Step 3: Cross multiply
    35,718.83x = 53,572.98 × 9,425.42
  4. Step 4: Simplify right side
    35,718.83x = 504,947,837.15
  5. Step 5: Solve for x
    x = 504,947,837.15/35,718.83
  6. Step 6: Final answer
    x = 14,136.74

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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.