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Finding the Fourth Proportional to 97,153.92, 145,736.06 and 30,599.25

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Solution

The fourth proportional to 97,153.92, 145,736.06 and 30,599.25 is: 45,900.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,153.92 : 145,736.06 = 30,599.25 : x
  2. Step 2: Convert to fraction form
    97,153.92/145,736.06 = 30,599.25/x
  3. Step 3: Cross multiply
    97,153.92x = 145,736.06 × 30,599.25
  4. Step 4: Simplify right side
    97,153.92x = 4,459,413,980.96
  5. Step 5: Solve for x
    x = 4,459,413,980.96/97,153.92
  6. Step 6: Final answer
    x = 45,900.50

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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.