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Finding the Fourth Proportional to 96,561.40, 144,893.22 and 47,313.40

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Solution

The fourth proportional to 96,561.40, 144,893.22 and 47,313.40 is: 70,995.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,561.40 : 144,893.22 = 47,313.40 : x
  2. Step 2: Convert to fraction form
    96,561.40/144,893.22 = 47,313.40/x
  3. Step 3: Cross multiply
    96,561.40x = 144,893.22 × 47,313.40
  4. Step 4: Simplify right side
    96,561.40x = 6,855,390,875.15
  5. Step 5: Solve for x
    x = 6,855,390,875.15/96,561.40
  6. Step 6: Final answer
    x = 70,995.15

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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.