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Finding the Fourth Proportional to 112,046, 168,097.80 and 38,174

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Solution

The fourth proportional to 112,046, 168,097.80 and 38,174 is: 57,270.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,046 : 168,097.80 = 38,174 : x
  2. Step 2: Convert to fraction form
    112,046/168,097.80 = 38,174/x
  3. Step 3: Cross multiply
    112,046x = 168,097.80 × 38,174
  4. Step 4: Simplify right side
    112,046x = 6,416,965,417.20
  5. Step 5: Solve for x
    x = 6,416,965,417.20/112,046
  6. Step 6: Final answer
    x = 57,270.81

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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.