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Finding the Fourth Proportional to 96,446.93, 144,600.27 and 40,303.07

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Solution

The fourth proportional to 96,446.93, 144,600.27 and 40,303.07 is: 60,425.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,446.93 : 144,600.27 = 40,303.07 : x
  2. Step 2: Convert to fraction form
    96,446.93/144,600.27 = 40,303.07/x
  3. Step 3: Cross multiply
    96,446.93x = 144,600.27 × 40,303.07
  4. Step 4: Simplify right side
    96,446.93x = 5,827,834,803.83
  5. Step 5: Solve for x
    x = 5,827,834,803.83/96,446.93
  6. Step 6: Final answer
    x = 60,425.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.