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Finding the Fourth Proportional to 32,050.94, 48,058.79 and 9,858.15

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Solution

The fourth proportional to 32,050.94, 48,058.79 and 9,858.15 is: 14,781.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,050.94 : 48,058.79 = 9,858.15 : x
  2. Step 2: Convert to fraction form
    32,050.94/48,058.79 = 9,858.15/x
  3. Step 3: Cross multiply
    32,050.94x = 48,058.79 × 9,858.15
  4. Step 4: Simplify right side
    32,050.94x = 473,770,711.35
  5. Step 5: Solve for x
    x = 473,770,711.35/32,050.94
  6. Step 6: Final answer
    x = 14,781.81

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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.