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Finding the Fourth Proportional to 32,043.56, 48,070.81 and 9,856.45

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Solution

The fourth proportional to 32,043.56, 48,070.81 and 9,856.45 is: 14,786.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,043.56 : 48,070.81 = 9,856.45 : x
  2. Step 2: Convert to fraction form
    32,043.56/48,070.81 = 9,856.45/x
  3. Step 3: Cross multiply
    32,043.56x = 48,070.81 × 9,856.45
  4. Step 4: Simplify right side
    32,043.56x = 473,807,294.87
  5. Step 5: Solve for x
    x = 473,807,294.87/32,043.56
  6. Step 6: Final answer
    x = 14,786.35

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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.