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Finding the Fourth Proportional to 49,518.85, 74,284.88 and 14,458

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Solution

The fourth proportional to 49,518.85, 74,284.88 and 14,458 is: 21,688.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,518.85 : 74,284.88 = 14,458 : x
  2. Step 2: Convert to fraction form
    49,518.85/74,284.88 = 14,458/x
  3. Step 3: Cross multiply
    49,518.85x = 74,284.88 × 14,458
  4. Step 4: Simplify right side
    49,518.85x = 1,074,010,795.04
  5. Step 5: Solve for x
    x = 1,074,010,795.04/49,518.85
  6. Step 6: Final answer
    x = 21,688.93

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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.