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Finding the Fourth Proportional to 96,782.40, 145,058.40 and 40,622.40

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Solution

The fourth proportional to 96,782.40, 145,058.40 and 40,622.40 is: 60,885.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,782.40 : 145,058.40 = 40,622.40 : x
  2. Step 2: Convert to fraction form
    96,782.40/145,058.40 = 40,622.40/x
  3. Step 3: Cross multiply
    96,782.40x = 145,058.40 × 40,622.40
  4. Step 4: Simplify right side
    96,782.40x = 5,892,620,348.16
  5. Step 5: Solve for x
    x = 5,892,620,348.16/96,782.40
  6. Step 6: Final answer
    x = 60,885.25

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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.