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Finding the Fourth Proportional to 30,601.99, 45,633.65 and 28,178.47

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Solution

The fourth proportional to 30,601.99, 45,633.65 and 28,178.47 is: 42,019.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,601.99 : 45,633.65 = 28,178.47 : x
  2. Step 2: Convert to fraction form
    30,601.99/45,633.65 = 28,178.47/x
  3. Step 3: Cross multiply
    30,601.99x = 45,633.65 × 28,178.47
  4. Step 4: Simplify right side
    30,601.99x = 1,285,886,437.52
  5. Step 5: Solve for x
    x = 1,285,886,437.52/30,601.99
  6. Step 6: Final answer
    x = 42,019.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.