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Finding the Fourth Proportional to 30,830.88, 42,548.88 and 17,403.33

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Solution

The fourth proportional to 30,830.88, 42,548.88 and 17,403.33 is: 24,017.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,830.88 : 42,548.88 = 17,403.33 : x
  2. Step 2: Convert to fraction form
    30,830.88/42,548.88 = 17,403.33/x
  3. Step 3: Cross multiply
    30,830.88x = 42,548.88 × 17,403.33
  4. Step 4: Simplify right side
    30,830.88x = 740,492,199.77
  5. Step 5: Solve for x
    x = 740,492,199.77/30,830.88
  6. Step 6: Final answer
    x = 24,017.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.