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Finding the Fourth Proportional to 32,165.64, 48,211.08 and 19,029.06

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Solution

The fourth proportional to 32,165.64, 48,211.08 and 19,029.06 is: 28,521.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,165.64 : 48,211.08 = 19,029.06 : x
  2. Step 2: Convert to fraction form
    32,165.64/48,211.08 = 19,029.06/x
  3. Step 3: Cross multiply
    32,165.64x = 48,211.08 × 19,029.06
  4. Step 4: Simplify right side
    32,165.64x = 917,411,533.98
  5. Step 5: Solve for x
    x = 917,411,533.98/32,165.64
  6. Step 6: Final answer
    x = 28,521.48

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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.