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Finding the Fourth Proportional to 34,780.95, 52,022.54 and 32,259.83

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Solution

The fourth proportional to 34,780.95, 52,022.54 and 32,259.83 is: 48,251.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,780.95 : 52,022.54 = 32,259.83 : x
  2. Step 2: Convert to fraction form
    34,780.95/52,022.54 = 32,259.83/x
  3. Step 3: Cross multiply
    34,780.95x = 52,022.54 × 32,259.83
  4. Step 4: Simplify right side
    34,780.95x = 1,678,237,875.16
  5. Step 5: Solve for x
    x = 1,678,237,875.16/34,780.95
  6. Step 6: Final answer
    x = 48,251.64

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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.