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Finding the Fourth Proportional to 65,031.32, 89,742.66 and 35,223.32

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Solution

The fourth proportional to 65,031.32, 89,742.66 and 35,223.32 is: 48,607.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,031.32 : 89,742.66 = 35,223.32 : x
  2. Step 2: Convert to fraction form
    65,031.32/89,742.66 = 35,223.32/x
  3. Step 3: Cross multiply
    65,031.32x = 89,742.66 × 35,223.32
  4. Step 4: Simplify right side
    65,031.32x = 3,161,034,430.83
  5. Step 5: Solve for x
    x = 3,161,034,430.83/65,031.32
  6. Step 6: Final answer
    x = 48,607.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.