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Finding the Fourth Proportional to 97,342.50, 146,029.56 and 38,146.08

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Solution

The fourth proportional to 97,342.50, 146,029.56 and 38,146.08 is: 57,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,342.50 : 146,029.56 = 38,146.08 : x
  2. Step 2: Convert to fraction form
    97,342.50/146,029.56 = 38,146.08/x
  3. Step 3: Cross multiply
    97,342.50x = 146,029.56 × 38,146.08
  4. Step 4: Simplify right side
    97,342.50x = 5,570,455,278.12
  5. Step 5: Solve for x
    x = 5,570,455,278.12/97,342.50
  6. Step 6: Final answer
    x = 57,225.32

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