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Finding the Fourth Proportional to 75,533, 104,235.72 and 42,005.48

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Solution

The fourth proportional to 75,533, 104,235.72 and 42,005.48 is: 57,967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,533 : 104,235.72 = 42,005.48 : x
  2. Step 2: Convert to fraction form
    75,533/104,235.72 = 42,005.48/x
  3. Step 3: Cross multiply
    75,533x = 104,235.72 × 42,005.48
  4. Step 4: Simplify right side
    75,533x = 4,378,471,451.75
  5. Step 5: Solve for x
    x = 4,378,471,451.75/75,533
  6. Step 6: Final answer
    x = 57,967.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.