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Finding the Fourth Proportional to 30,842.52, 46,278.10 and 9,785.88

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Solution

The fourth proportional to 30,842.52, 46,278.10 and 9,785.88 is: 14,683.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,842.52 : 46,278.10 = 9,785.88 : x
  2. Step 2: Convert to fraction form
    30,842.52/46,278.10 = 9,785.88/x
  3. Step 3: Cross multiply
    30,842.52x = 46,278.10 × 9,785.88
  4. Step 4: Simplify right side
    30,842.52x = 452,871,933.23
  5. Step 5: Solve for x
    x = 452,871,933.23/30,842.52
  6. Step 6: Final answer
    x = 14,683.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.