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Finding the Fourth Proportional to 65,461.48, 98,192.22 and 30,382

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Solution

The fourth proportional to 65,461.48, 98,192.22 and 30,382 is: 45,573

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,461.48 : 98,192.22 = 30,382 : x
  2. Step 2: Convert to fraction form
    65,461.48/98,192.22 = 30,382/x
  3. Step 3: Cross multiply
    65,461.48x = 98,192.22 × 30,382
  4. Step 4: Simplify right side
    65,461.48x = 2,983,276,028.04
  5. Step 5: Solve for x
    x = 2,983,276,028.04/65,461.48
  6. Step 6: Final answer
    x = 45,573

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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.