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Finding the Fourth Proportional to 96,914.40, 145,328.40 and 37,730.40

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Solution

The fourth proportional to 96,914.40, 145,328.40 and 37,730.40 is: 56,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,914.40 : 145,328.40 = 37,730.40 : x
  2. Step 2: Convert to fraction form
    96,914.40/145,328.40 = 37,730.40/x
  3. Step 3: Cross multiply
    96,914.40x = 145,328.40 × 37,730.40
  4. Step 4: Simplify right side
    96,914.40x = 5,483,298,663.36
  5. Step 5: Solve for x
    x = 5,483,298,663.36/96,914.40
  6. Step 6: Final answer
    x = 56,578.78

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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.