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Finding the Fourth Proportional to 30,642.90, 42,303.43 and 23,821.89

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Solution

The fourth proportional to 30,642.90, 42,303.43 and 23,821.89 is: 32,886.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,642.90 : 42,303.43 = 23,821.89 : x
  2. Step 2: Convert to fraction form
    30,642.90/42,303.43 = 23,821.89/x
  3. Step 3: Cross multiply
    30,642.90x = 42,303.43 × 23,821.89
  4. Step 4: Simplify right side
    30,642.90x = 1,007,747,656.08
  5. Step 5: Solve for x
    x = 1,007,747,656.08/30,642.90
  6. Step 6: Final answer
    x = 32,886.82

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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.