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Finding the Fourth Proportional to 97,527.42, 134,587.80 and 52,815.42

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Solution

The fourth proportional to 97,527.42, 134,587.80 and 52,815.42 is: 72,885.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,527.42 : 134,587.80 = 52,815.42 : x
  2. Step 2: Convert to fraction form
    97,527.42/134,587.80 = 52,815.42/x
  3. Step 3: Cross multiply
    97,527.42x = 134,587.80 × 52,815.42
  4. Step 4: Simplify right side
    97,527.42x = 7,108,311,183.88
  5. Step 5: Solve for x
    x = 7,108,311,183.88/97,527.42
  6. Step 6: Final answer
    x = 72,885.26

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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.