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Finding the Fourth Proportional to 123,533.95, 185,336.39 and 51,472.83

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Solution

The fourth proportional to 123,533.95, 185,336.39 and 51,472.83 is: 77,224.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,533.95 : 185,336.39 = 51,472.83 : x
  2. Step 2: Convert to fraction form
    123,533.95/185,336.39 = 51,472.83/x
  3. Step 3: Cross multiply
    123,533.95x = 185,336.39 × 51,472.83
  4. Step 4: Simplify right side
    123,533.95x = 9,539,788,495.28
  5. Step 5: Solve for x
    x = 9,539,788,495.28/123,533.95
  6. Step 6: Final answer
    x = 77,224.02

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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.