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Finding the Fourth Proportional to 65,176.41, 89,943.44 and 35,368.41

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Solution

The fourth proportional to 65,176.41, 89,943.44 and 35,368.41 is: 48,808.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,176.41 : 89,943.44 = 35,368.41 : x
  2. Step 2: Convert to fraction form
    65,176.41/89,943.44 = 35,368.41/x
  3. Step 3: Cross multiply
    65,176.41x = 89,943.44 × 35,368.41
  4. Step 4: Simplify right side
    65,176.41x = 3,181,156,462.73
  5. Step 5: Solve for x
    x = 3,181,156,462.73/65,176.41
  6. Step 6: Final answer
    x = 48,808.40

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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.