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Finding the Fourth Proportional to 97,235.68, 145,795.14 and 38,000.74

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Solution

The fourth proportional to 97,235.68, 145,795.14 and 38,000.74 is: 56,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,235.68 : 145,795.14 = 38,000.74 : x
  2. Step 2: Convert to fraction form
    97,235.68/145,795.14 = 38,000.74/x
  3. Step 3: Cross multiply
    97,235.68x = 145,795.14 × 38,000.74
  4. Step 4: Simplify right side
    97,235.68x = 5,540,323,208.40
  5. Step 5: Solve for x
    x = 5,540,323,208.40/97,235.68
  6. Step 6: Final answer
    x = 56,978.29

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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.