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Finding the Fourth Proportional to 116,045.34, 174,070.45 and 37,159.34

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Solution

The fourth proportional to 116,045.34, 174,070.45 and 37,159.34 is: 55,739.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,045.34 : 174,070.45 = 37,159.34 : x
  2. Step 2: Convert to fraction form
    116,045.34/174,070.45 = 37,159.34/x
  3. Step 3: Cross multiply
    116,045.34x = 174,070.45 × 37,159.34
  4. Step 4: Simplify right side
    116,045.34x = 6,468,343,190.75
  5. Step 5: Solve for x
    x = 6,468,343,190.75/116,045.34
  6. Step 6: Final answer
    x = 55,739.79

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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.