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Finding the Fourth Proportional to 65,204.41, 89,975.86 and 51,808.09

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Solution

The fourth proportional to 65,204.41, 89,975.86 and 51,808.09 is: 71,490.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,204.41 : 89,975.86 = 51,808.09 : x
  2. Step 2: Convert to fraction form
    65,204.41/89,975.86 = 51,808.09/x
  3. Step 3: Cross multiply
    65,204.41x = 89,975.86 × 51,808.09
  4. Step 4: Simplify right side
    65,204.41x = 4,661,477,452.71
  5. Step 5: Solve for x
    x = 4,661,477,452.71/65,204.41
  6. Step 6: Final answer
    x = 71,490.22

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1.5x scale

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.