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Finding the Fourth Proportional to 97,167.92, 134,125.31 and 56,894.63

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Solution

The fourth proportional to 97,167.92, 134,125.31 and 56,894.63 is: 78,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,167.92 : 134,125.31 = 56,894.63 : x
  2. Step 2: Convert to fraction form
    97,167.92/134,125.31 = 56,894.63/x
  3. Step 3: Cross multiply
    97,167.92x = 134,125.31 × 56,894.63
  4. Step 4: Simplify right side
    97,167.92x = 7,631,009,357.70
  5. Step 5: Solve for x
    x = 7,631,009,357.70/97,167.92
  6. Step 6: Final answer
    x = 78,534.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.