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Finding the Fourth Proportional to 97,516.66, 146,260.05 and 30,948.16

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Solution

The fourth proportional to 97,516.66, 146,260.05 and 30,948.16 is: 46,417.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,516.66 : 146,260.05 = 30,948.16 : x
  2. Step 2: Convert to fraction form
    97,516.66/146,260.05 = 30,948.16/x
  3. Step 3: Cross multiply
    97,516.66x = 146,260.05 × 30,948.16
  4. Step 4: Simplify right side
    97,516.66x = 4,526,479,429.01
  5. Step 5: Solve for x
    x = 4,526,479,429.01/97,516.66
  6. Step 6: Final answer
    x = 46,417.50

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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.