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Finding the Fourth Proportional to 97,098.68, 145,654.61 and 33,030.74

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Solution

The fourth proportional to 97,098.68, 145,654.61 and 33,030.74 is: 49,548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,098.68 : 145,654.61 = 33,030.74 : x
  2. Step 2: Convert to fraction form
    97,098.68/145,654.61 = 33,030.74/x
  3. Step 3: Cross multiply
    97,098.68x = 145,654.61 × 33,030.74
  4. Step 4: Simplify right side
    97,098.68x = 4,811,078,659.28
  5. Step 5: Solve for x
    x = 4,811,078,659.28/97,098.68
  6. Step 6: Final answer
    x = 49,548.35

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1.5x scale

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.