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Finding the Fourth Proportional to 32,048.22, 48,030.50 and 23,193.36

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Solution

The fourth proportional to 32,048.22, 48,030.50 and 23,193.36 is: 34,759.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,048.22 : 48,030.50 = 23,193.36 : x
  2. Step 2: Convert to fraction form
    32,048.22/48,030.50 = 23,193.36/x
  3. Step 3: Cross multiply
    32,048.22x = 48,030.50 × 23,193.36
  4. Step 4: Simplify right side
    32,048.22x = 1,113,988,677.48
  5. Step 5: Solve for x
    x = 1,113,988,677.48/32,048.22
  6. Step 6: Final answer
    x = 34,759.77

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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.