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Finding the Fourth Proportional to 69,008.12, 103,486.74 and 24,623

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Solution

The fourth proportional to 69,008.12, 103,486.74 and 24,623 is: 36,925.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,008.12 : 103,486.74 = 24,623 : x
  2. Step 2: Convert to fraction form
    69,008.12/103,486.74 = 24,623/x
  3. Step 3: Cross multiply
    69,008.12x = 103,486.74 × 24,623
  4. Step 4: Simplify right side
    69,008.12x = 2,548,153,999.02
  5. Step 5: Solve for x
    x = 2,548,153,999.02/69,008.12
  6. Step 6: Final answer
    x = 36,925.42

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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.