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Finding the Fourth Proportional to 97,262.95, 145,894.49 and 30,709.87

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Solution

The fourth proportional to 97,262.95, 145,894.49 and 30,709.87 is: 46,064.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,262.95 : 145,894.49 = 30,709.87 : x
  2. Step 2: Convert to fraction form
    97,262.95/145,894.49 = 30,709.87/x
  3. Step 3: Cross multiply
    97,262.95x = 145,894.49 × 30,709.87
  4. Step 4: Simplify right side
    97,262.95x = 4,480,400,821.62
  5. Step 5: Solve for x
    x = 4,480,400,821.62/97,262.95
  6. Step 6: Final answer
    x = 46,064.83

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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.