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Finding the Fourth Proportional to 49,648.11, 74,477.64 and 14,590.50

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Solution

The fourth proportional to 49,648.11, 74,477.64 and 14,590.50 is: 21,887.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,648.11 : 74,477.64 = 14,590.50 : x
  2. Step 2: Convert to fraction form
    49,648.11/74,477.64 = 14,590.50/x
  3. Step 3: Cross multiply
    49,648.11x = 74,477.64 × 14,590.50
  4. Step 4: Simplify right side
    49,648.11x = 1,086,666,006.42
  5. Step 5: Solve for x
    x = 1,086,666,006.42/49,648.11
  6. Step 6: Final answer
    x = 21,887.36

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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.