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Finding the Fourth Proportional to 97,894.56, 146,848.72 and 30,417.50

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Solution

The fourth proportional to 97,894.56, 146,848.72 and 30,417.50 is: 45,628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,894.56 : 146,848.72 = 30,417.50 : x
  2. Step 2: Convert to fraction form
    97,894.56/146,848.72 = 30,417.50/x
  3. Step 3: Cross multiply
    97,894.56x = 146,848.72 × 30,417.50
  4. Step 4: Simplify right side
    97,894.56x = 4,466,770,940.60
  5. Step 5: Solve for x
    x = 4,466,770,940.60/97,894.56
  6. Step 6: Final answer
    x = 45,628.39

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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.