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Finding the Fourth Proportional to 32,117.41, 44,322.09 and 17,778.23

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Solution

The fourth proportional to 32,117.41, 44,322.09 and 17,778.23 is: 24,534.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,117.41 : 44,322.09 = 17,778.23 : x
  2. Step 2: Convert to fraction form
    32,117.41/44,322.09 = 17,778.23/x
  3. Step 3: Cross multiply
    32,117.41x = 44,322.09 × 17,778.23
  4. Step 4: Simplify right side
    32,117.41x = 787,968,437.34
  5. Step 5: Solve for x
    x = 787,968,437.34/32,117.41
  6. Step 6: Final answer
    x = 24,534.00

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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.