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Finding the Fourth Proportional to 32,894.64, 49,349.25 and 9,521.28

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Solution

The fourth proportional to 32,894.64, 49,349.25 and 9,521.28 is: 14,284.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,894.64 : 49,349.25 = 9,521.28 : x
  2. Step 2: Convert to fraction form
    32,894.64/49,349.25 = 9,521.28/x
  3. Step 3: Cross multiply
    32,894.64x = 49,349.25 × 9,521.28
  4. Step 4: Simplify right side
    32,894.64x = 469,868,027.04
  5. Step 5: Solve for x
    x = 469,868,027.04/32,894.64
  6. Step 6: Final answer
    x = 14,284.03

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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.