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Finding the Fourth Proportional to 50,804.61, 76,210.53 and 17,524.17

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Solution

The fourth proportional to 50,804.61, 76,210.53 and 17,524.17 is: 26,287.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,804.61 : 76,210.53 = 17,524.17 : x
  2. Step 2: Convert to fraction form
    50,804.61/76,210.53 = 17,524.17/x
  3. Step 3: Cross multiply
    50,804.61x = 76,210.53 × 17,524.17
  4. Step 4: Simplify right side
    50,804.61x = 1,335,526,283.51
  5. Step 5: Solve for x
    x = 1,335,526,283.51/50,804.61
  6. Step 6: Final answer
    x = 26,287.50

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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.