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Finding the Fourth Proportional to 29,030.54, 43,545.87 and 7,970.87

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Solution

The fourth proportional to 29,030.54, 43,545.87 and 7,970.87 is: 11,956.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,030.54 : 43,545.87 = 7,970.87 : x
  2. Step 2: Convert to fraction form
    29,030.54/43,545.87 = 7,970.87/x
  3. Step 3: Cross multiply
    29,030.54x = 43,545.87 × 7,970.87
  4. Step 4: Simplify right side
    29,030.54x = 347,098,251.08
  5. Step 5: Solve for x
    x = 347,098,251.08/29,030.54
  6. Step 6: Final answer
    x = 11,956.32

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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.