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Finding the Fourth Proportional to 97,175.60, 145,734.60 and 37,977.20

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Solution

The fourth proportional to 97,175.60, 145,734.60 and 37,977.20 is: 56,954.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,175.60 : 145,734.60 = 37,977.20 : x
  2. Step 2: Convert to fraction form
    97,175.60/145,734.60 = 37,977.20/x
  3. Step 3: Cross multiply
    97,175.60x = 145,734.60 × 37,977.20
  4. Step 4: Simplify right side
    97,175.60x = 5,534,592,051.12
  5. Step 5: Solve for x
    x = 5,534,592,051.12/97,175.60
  6. Step 6: Final answer
    x = 56,954.54

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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.