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Finding the Fourth Proportional to 116,362.20, 174,543.12 and 37,488

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Solution

The fourth proportional to 116,362.20, 174,543.12 and 37,488 is: 56,231.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,362.20 : 174,543.12 = 37,488 : x
  2. Step 2: Convert to fraction form
    116,362.20/174,543.12 = 37,488/x
  3. Step 3: Cross multiply
    116,362.20x = 174,543.12 × 37,488
  4. Step 4: Simplify right side
    116,362.20x = 6,543,272,482.56
  5. Step 5: Solve for x
    x = 6,543,272,482.56/116,362.20
  6. Step 6: Final answer
    x = 56,231.94

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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.