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Finding the Fourth Proportional to 62,569, 93,868.62 and 25,633

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Solution

The fourth proportional to 62,569, 93,868.62 and 25,633 is: 38,455.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,569 : 93,868.62 = 25,633 : x
  2. Step 2: Convert to fraction form
    62,569/93,868.62 = 25,633/x
  3. Step 3: Cross multiply
    62,569x = 93,868.62 × 25,633
  4. Step 4: Simplify right side
    62,569x = 2,406,134,336.46
  5. Step 5: Solve for x
    x = 2,406,134,336.46/62,569
  6. Step 6: Final answer
    x = 38,455.69

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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.