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Finding the Fourth Proportional to 32,657.40, 45,002.70 and 23,199.48

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Solution

The fourth proportional to 32,657.40, 45,002.70 and 23,199.48 is: 31,969.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,657.40 : 45,002.70 = 23,199.48 : x
  2. Step 2: Convert to fraction form
    32,657.40/45,002.70 = 23,199.48/x
  3. Step 3: Cross multiply
    32,657.40x = 45,002.70 × 23,199.48
  4. Step 4: Simplify right side
    32,657.40x = 1,044,039,238.60
  5. Step 5: Solve for x
    x = 1,044,039,238.60/32,657.40
  6. Step 6: Final answer
    x = 31,969.45

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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.