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Finding the Fourth Proportional to 110,424.24, 165,548.61 and 48,051

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Solution

The fourth proportional to 110,424.24, 165,548.61 and 48,051 is: 72,038.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,424.24 : 165,548.61 = 48,051 : x
  2. Step 2: Convert to fraction form
    110,424.24/165,548.61 = 48,051/x
  3. Step 3: Cross multiply
    110,424.24x = 165,548.61 × 48,051
  4. Step 4: Simplify right side
    110,424.24x = 7,954,776,259.11
  5. Step 5: Solve for x
    x = 7,954,776,259.11/110,424.24
  6. Step 6: Final answer
    x = 72,038.32

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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.