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Finding the Fourth Proportional to 73,085.84, 109,609.56 and 31,523.60

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Solution

The fourth proportional to 73,085.84, 109,609.56 and 31,523.60 is: 47,277.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,085.84 : 109,609.56 = 31,523.60 : x
  2. Step 2: Convert to fraction form
    73,085.84/109,609.56 = 31,523.60/x
  3. Step 3: Cross multiply
    73,085.84x = 109,609.56 × 31,523.60
  4. Step 4: Simplify right side
    73,085.84x = 3,455,287,925.62
  5. Step 5: Solve for x
    x = 3,455,287,925.62/73,085.84
  6. Step 6: Final answer
    x = 47,277.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.