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Finding the Fourth Proportional to 97,053.39, 145,578.74 and 30,497.58

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Solution

The fourth proportional to 97,053.39, 145,578.74 and 30,497.58 is: 45,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,053.39 : 145,578.74 = 30,497.58 : x
  2. Step 2: Convert to fraction form
    97,053.39/145,578.74 = 30,497.58/x
  3. Step 3: Cross multiply
    97,053.39x = 145,578.74 × 30,497.58
  4. Step 4: Simplify right side
    97,053.39x = 4,439,799,116.96
  5. Step 5: Solve for x
    x = 4,439,799,116.96/97,053.39
  6. Step 6: Final answer
    x = 45,745.95

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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.