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Finding the Fourth Proportional to 109,424.30, 164,070.72 and 42,785.03

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Solution

The fourth proportional to 109,424.30, 164,070.72 and 42,785.03 is: 64,151.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,424.30 : 164,070.72 = 42,785.03 : x
  2. Step 2: Convert to fraction form
    109,424.30/164,070.72 = 42,785.03/x
  3. Step 3: Cross multiply
    109,424.30x = 164,070.72 × 42,785.03
  4. Step 4: Simplify right side
    109,424.30x = 7,019,771,087.50
  5. Step 5: Solve for x
    x = 7,019,771,087.50/109,424.30
  6. Step 6: Final answer
    x = 64,151.85

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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.