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Finding the Fourth Proportional to 65,113.76, 97,730.94 and 40,202.62

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Solution

The fourth proportional to 65,113.76, 97,730.94 and 40,202.62 is: 60,341.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,113.76 : 97,730.94 = 40,202.62 : x
  2. Step 2: Convert to fraction form
    65,113.76/97,730.94 = 40,202.62/x
  3. Step 3: Cross multiply
    65,113.76x = 97,730.94 × 40,202.62
  4. Step 4: Simplify right side
    65,113.76x = 3,929,039,843.06
  5. Step 5: Solve for x
    x = 3,929,039,843.06/65,113.76
  6. Step 6: Final answer
    x = 60,341.16

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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.