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Finding the Fourth Proportional to 74,927, 112,390.50 and 19,523

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Solution

The fourth proportional to 74,927, 112,390.50 and 19,523 is: 29,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,927 : 112,390.50 = 19,523 : x
  2. Step 2: Convert to fraction form
    74,927/112,390.50 = 19,523/x
  3. Step 3: Cross multiply
    74,927x = 112,390.50 × 19,523
  4. Step 4: Simplify right side
    74,927x = 2,194,199,731.50
  5. Step 5: Solve for x
    x = 2,194,199,731.50/74,927
  6. Step 6: Final answer
    x = 29,284.50

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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.