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Finding the Fourth Proportional to 34,918, 52,409.40 and 16,208.08

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Solution

The fourth proportional to 34,918, 52,409.40 and 16,208.08 is: 24,327.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,918 : 52,409.40 = 16,208.08 : x
  2. Step 2: Convert to fraction form
    34,918/52,409.40 = 16,208.08/x
  3. Step 3: Cross multiply
    34,918x = 52,409.40 × 16,208.08
  4. Step 4: Simplify right side
    34,918x = 849,455,747.95
  5. Step 5: Solve for x
    x = 849,455,747.95/34,918
  6. Step 6: Final answer
    x = 24,327.16

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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.