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Finding the Fourth Proportional to 30,747.24, 42,444.54 and 19,569.24

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Solution

The fourth proportional to 30,747.24, 42,444.54 and 19,569.24 is: 27,014.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,747.24 : 42,444.54 = 19,569.24 : x
  2. Step 2: Convert to fraction form
    30,747.24/42,444.54 = 19,569.24/x
  3. Step 3: Cross multiply
    30,747.24x = 42,444.54 × 19,569.24
  4. Step 4: Simplify right side
    30,747.24x = 830,607,389.95
  5. Step 5: Solve for x
    x = 830,607,389.95/30,747.24
  6. Step 6: Final answer
    x = 27,014.05

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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.