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Finding the Fourth Proportional to 75,297.42, 112,980.60 and 32,615.89

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Solution

The fourth proportional to 75,297.42, 112,980.60 and 32,615.89 is: 48,938.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,297.42 : 112,980.60 = 32,615.89 : x
  2. Step 2: Convert to fraction form
    75,297.42/112,980.60 = 32,615.89/x
  3. Step 3: Cross multiply
    75,297.42x = 112,980.60 × 32,615.89
  4. Step 4: Simplify right side
    75,297.42x = 3,684,963,083.07
  5. Step 5: Solve for x
    x = 3,684,963,083.07/75,297.42
  6. Step 6: Final answer
    x = 48,938.77

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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.