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Finding the Fourth Proportional to 97,677.60, 146,510.10 and 31,165.62

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Solution

The fourth proportional to 97,677.60, 146,510.10 and 31,165.62 is: 46,746.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,677.60 : 146,510.10 = 31,165.62 : x
  2. Step 2: Convert to fraction form
    97,677.60/146,510.10 = 31,165.62/x
  3. Step 3: Cross multiply
    97,677.60x = 146,510.10 × 31,165.62
  4. Step 4: Simplify right side
    97,677.60x = 4,566,078,102.76
  5. Step 5: Solve for x
    x = 4,566,078,102.76/97,677.60
  6. Step 6: Final answer
    x = 46,746.42

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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.