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Finding the Fourth Proportional to 89,732.98, 123,830.05 and 48,897.64

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Solution

The fourth proportional to 89,732.98, 123,830.05 and 48,897.64 is: 67,477.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,732.98 : 123,830.05 = 48,897.64 : x
  2. Step 2: Convert to fraction form
    89,732.98/123,830.05 = 48,897.64/x
  3. Step 3: Cross multiply
    89,732.98x = 123,830.05 × 48,897.64
  4. Step 4: Simplify right side
    89,732.98x = 6,054,996,342.44
  5. Step 5: Solve for x
    x = 6,054,996,342.44/89,732.98
  6. Step 6: Final answer
    x = 67,477.94

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Why These Related Problems?

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