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Finding the Fourth Proportional to 65,130.30, 97,648.20 and 44,018.10

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Solution

The fourth proportional to 65,130.30, 97,648.20 and 44,018.10 is: 65,995.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,130.30 : 97,648.20 = 44,018.10 : x
  2. Step 2: Convert to fraction form
    65,130.30/97,648.20 = 44,018.10/x
  3. Step 3: Cross multiply
    65,130.30x = 97,648.20 × 44,018.10
  4. Step 4: Simplify right side
    65,130.30x = 4,298,288,232.42
  5. Step 5: Solve for x
    x = 4,298,288,232.42/65,130.30
  6. Step 6: Final answer
    x = 65,995.22

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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.