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Finding the Fourth Proportional to 32,782.72, 45,238.80 and 17,878.72

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Solution

The fourth proportional to 32,782.72, 45,238.80 and 17,878.72 is: 24,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,782.72 : 45,238.80 = 17,878.72 : x
  2. Step 2: Convert to fraction form
    32,782.72/45,238.80 = 17,878.72/x
  3. Step 3: Cross multiply
    32,782.72x = 45,238.80 × 17,878.72
  4. Step 4: Simplify right side
    32,782.72x = 808,811,838.34
  5. Step 5: Solve for x
    x = 808,811,838.34/32,782.72
  6. Step 6: Final answer
    x = 24,671.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.