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Finding the Fourth Proportional to 97,808.52, 146,720.61 and 31,258.11

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Solution

The fourth proportional to 97,808.52, 146,720.61 and 31,258.11 is: 46,889.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,808.52 : 146,720.61 = 31,258.11 : x
  2. Step 2: Convert to fraction form
    97,808.52/146,720.61 = 31,258.11/x
  3. Step 3: Cross multiply
    97,808.52x = 146,720.61 × 31,258.11
  4. Step 4: Simplify right side
    97,808.52x = 4,586,208,966.65
  5. Step 5: Solve for x
    x = 4,586,208,966.65/97,808.52
  6. Step 6: Final answer
    x = 46,889.67

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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.