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Finding the Fourth Proportional to 65,176.17, 89,911.80 and 38,317.38

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Solution

The fourth proportional to 65,176.17, 89,911.80 and 38,317.38 is: 52,859.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,176.17 : 89,911.80 = 38,317.38 : x
  2. Step 2: Convert to fraction form
    65,176.17/89,911.80 = 38,317.38/x
  3. Step 3: Cross multiply
    65,176.17x = 89,911.80 × 38,317.38
  4. Step 4: Simplify right side
    65,176.17x = 3,445,184,607.08
  5. Step 5: Solve for x
    x = 3,445,184,607.08/65,176.17
  6. Step 6: Final answer
    x = 52,859.57

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Why These Related Problems?

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