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Finding the Fourth Proportional to 97,812.30, 146,718.45 and 45,324.30

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Solution

The fourth proportional to 97,812.30, 146,718.45 and 45,324.30 is: 67,986.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,812.30 : 146,718.45 = 45,324.30 : x
  2. Step 2: Convert to fraction form
    97,812.30/146,718.45 = 45,324.30/x
  3. Step 3: Cross multiply
    97,812.30x = 146,718.45 × 45,324.30
  4. Step 4: Simplify right side
    97,812.30x = 6,649,911,043.34
  5. Step 5: Solve for x
    x = 6,649,911,043.34/97,812.30
  6. Step 6: Final answer
    x = 67,986.45

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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.