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Finding the Fourth Proportional to 65,146.92, 97,734.74 and 37,080.20

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Solution

The fourth proportional to 65,146.92, 97,734.74 and 37,080.20 is: 55,628.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,146.92 : 97,734.74 = 37,080.20 : x
  2. Step 2: Convert to fraction form
    65,146.92/97,734.74 = 37,080.20/x
  3. Step 3: Cross multiply
    65,146.92x = 97,734.74 × 37,080.20
  4. Step 4: Simplify right side
    65,146.92x = 3,624,023,032.07
  5. Step 5: Solve for x
    x = 3,624,023,032.07/65,146.92
  6. Step 6: Final answer
    x = 55,628.46

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1.5x scale

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.