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Finding the Fourth Proportional to 97,877.90, 146,826.54 and 31,301.30

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Solution

The fourth proportional to 97,877.90, 146,826.54 and 31,301.30 is: 46,955.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,877.90 : 146,826.54 = 31,301.30 : x
  2. Step 2: Convert to fraction form
    97,877.90/146,826.54 = 31,301.30/x
  3. Step 3: Cross multiply
    97,877.90x = 146,826.54 × 31,301.30
  4. Step 4: Simplify right side
    97,877.90x = 4,595,861,576.50
  5. Step 5: Solve for x
    x = 4,595,861,576.50/97,877.90
  6. Step 6: Final answer
    x = 46,955.05

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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.