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Finding the Fourth Proportional to 96,802.28, 145,165.82 and 37,630.12

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Solution

The fourth proportional to 96,802.28, 145,165.82 and 37,630.12 is: 56,430.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,802.28 : 145,165.82 = 37,630.12 : x
  2. Step 2: Convert to fraction form
    96,802.28/145,165.82 = 37,630.12/x
  3. Step 3: Cross multiply
    96,802.28x = 145,165.82 × 37,630.12
  4. Step 4: Simplify right side
    96,802.28x = 5,462,607,226.50
  5. Step 5: Solve for x
    x = 5,462,607,226.50/96,802.28
  6. Step 6: Final answer
    x = 56,430.56

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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.