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Finding the Fourth Proportional to 96,401.48, 144,573.06 and 56,948

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Solution

The fourth proportional to 96,401.48, 144,573.06 and 56,948 is: 85,404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,401.48 : 144,573.06 = 56,948 : x
  2. Step 2: Convert to fraction form
    96,401.48/144,573.06 = 56,948/x
  3. Step 3: Cross multiply
    96,401.48x = 144,573.06 × 56,948
  4. Step 4: Simplify right side
    96,401.48x = 8,233,146,620.88
  5. Step 5: Solve for x
    x = 8,233,146,620.88/96,401.48
  6. Step 6: Final answer
    x = 85,404.77

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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.