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Finding the Fourth Proportional to 32,901.84, 49,352.64 and 9,528.24

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Solution

The fourth proportional to 32,901.84, 49,352.64 and 9,528.24 is: 14,292.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,901.84 : 49,352.64 = 9,528.24 : x
  2. Step 2: Convert to fraction form
    32,901.84/49,352.64 = 9,528.24/x
  3. Step 3: Cross multiply
    32,901.84x = 49,352.64 × 9,528.24
  4. Step 4: Simplify right side
    32,901.84x = 470,243,798.55
  5. Step 5: Solve for x
    x = 470,243,798.55/32,901.84
  6. Step 6: Final answer
    x = 14,292.33

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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.