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Finding the Fourth Proportional to 32,686.40, 45,108 and 17,783.36

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Solution

The fourth proportional to 32,686.40, 45,108 and 17,783.36 is: 24,541.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,686.40 : 45,108 = 17,783.36 : x
  2. Step 2: Convert to fraction form
    32,686.40/45,108 = 17,783.36/x
  3. Step 3: Cross multiply
    32,686.40x = 45,108 × 17,783.36
  4. Step 4: Simplify right side
    32,686.40x = 802,171,802.88
  5. Step 5: Solve for x
    x = 802,171,802.88/32,686.40
  6. Step 6: Final answer
    x = 24,541.45

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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.