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Finding the Fourth Proportional to 97,457.73, 146,186.60 and 23,585.73

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Solution

The fourth proportional to 97,457.73, 146,186.60 and 23,585.73 is: 35,378.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,457.73 : 146,186.60 = 23,585.73 : x
  2. Step 2: Convert to fraction form
    97,457.73/146,186.60 = 23,585.73/x
  3. Step 3: Cross multiply
    97,457.73x = 146,186.60 × 23,585.73
  4. Step 4: Simplify right side
    97,457.73x = 3,447,917,677.22
  5. Step 5: Solve for x
    x = 3,447,917,677.22/97,457.73
  6. Step 6: Final answer
    x = 35,378.60

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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.