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Finding the Fourth Proportional to 30,444.57, 42,021.63 and 17,877.69

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Solution

The fourth proportional to 30,444.57, 42,021.63 and 17,877.69 is: 24,675.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,444.57 : 42,021.63 = 17,877.69 : x
  2. Step 2: Convert to fraction form
    30,444.57/42,021.63 = 17,877.69/x
  3. Step 3: Cross multiply
    30,444.57x = 42,021.63 × 17,877.69
  4. Step 4: Simplify right side
    30,444.57x = 751,249,674.43
  5. Step 5: Solve for x
    x = 751,249,674.43/30,444.57
  6. Step 6: Final answer
    x = 24,675.98

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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.