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Finding the Fourth Proportional to 65,482.96, 90,465.24 and 52,885.84

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Solution

The fourth proportional to 65,482.96, 90,465.24 and 52,885.84 is: 73,062.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,482.96 : 90,465.24 = 52,885.84 : x
  2. Step 2: Convert to fraction form
    65,482.96/90,465.24 = 52,885.84/x
  3. Step 3: Cross multiply
    65,482.96x = 90,465.24 × 52,885.84
  4. Step 4: Simplify right side
    65,482.96x = 4,784,330,208.20
  5. Step 5: Solve for x
    x = 4,784,330,208.20/65,482.96
  6. Step 6: Final answer
    x = 73,062.22

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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.