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Finding the Fourth Proportional to 30,678.50, 42,335.52 and 17,250.32

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Solution

The fourth proportional to 30,678.50, 42,335.52 and 17,250.32 is: 23,804.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,678.50 : 42,335.52 = 17,250.32 : x
  2. Step 2: Convert to fraction form
    30,678.50/42,335.52 = 17,250.32/x
  3. Step 3: Cross multiply
    30,678.50x = 42,335.52 × 17,250.32
  4. Step 4: Simplify right side
    30,678.50x = 730,301,267.37
  5. Step 5: Solve for x
    x = 730,301,267.37/30,678.50
  6. Step 6: Final answer
    x = 23,804.99

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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.