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Finding the Fourth Proportional to 97,008.86, 145,580.10 and 33,829.46

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Solution

The fourth proportional to 97,008.86, 145,580.10 and 33,829.46 is: 50,767.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,008.86 : 145,580.10 = 33,829.46 : x
  2. Step 2: Convert to fraction form
    97,008.86/145,580.10 = 33,829.46/x
  3. Step 3: Cross multiply
    97,008.86x = 145,580.10 × 33,829.46
  4. Step 4: Simplify right side
    97,008.86x = 4,924,896,169.75
  5. Step 5: Solve for x
    x = 4,924,896,169.75/97,008.86
  6. Step 6: Final answer
    x = 50,767.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.