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Finding the Fourth Proportional to 72,090.20, 99,484.62 and 40,259

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Solution

The fourth proportional to 72,090.20, 99,484.62 and 40,259 is: 55,557.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,090.20 : 99,484.62 = 40,259 : x
  2. Step 2: Convert to fraction form
    72,090.20/99,484.62 = 40,259/x
  3. Step 3: Cross multiply
    72,090.20x = 99,484.62 × 40,259
  4. Step 4: Simplify right side
    72,090.20x = 4,005,151,316.58
  5. Step 5: Solve for x
    x = 4,005,151,316.58/72,090.20
  6. Step 6: Final answer
    x = 55,557.50

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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.