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Finding the Fourth Proportional to 72,089.20, 99,483.24 and 40,258

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Solution

The fourth proportional to 72,089.20, 99,483.24 and 40,258 is: 55,556.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,089.20 : 99,483.24 = 40,258 : x
  2. Step 2: Convert to fraction form
    72,089.20/99,483.24 = 40,258/x
  3. Step 3: Cross multiply
    72,089.20x = 99,483.24 × 40,258
  4. Step 4: Simplify right side
    72,089.20x = 4,004,996,275.92
  5. Step 5: Solve for x
    x = 4,004,996,275.92/72,089.20
  6. Step 6: Final answer
    x = 55,556.12

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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.