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Finding the Fourth Proportional to 97,525.32, 134,584.34 and 52,813

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Solution

The fourth proportional to 97,525.32, 134,584.34 and 52,813 is: 72,881.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,525.32 : 134,584.34 = 52,813 : x
  2. Step 2: Convert to fraction form
    97,525.32/134,584.34 = 52,813/x
  3. Step 3: Cross multiply
    97,525.32x = 134,584.34 × 52,813
  4. Step 4: Simplify right side
    97,525.32x = 7,107,802,748.42
  5. Step 5: Solve for x
    x = 7,107,802,748.42/97,525.32
  6. Step 6: Final answer
    x = 72,881.61

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