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Finding the Fourth Proportional to 29,065.50, 43,599.06 and 9,346.05

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Solution

The fourth proportional to 29,065.50, 43,599.06 and 9,346.05 is: 14,019.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,065.50 : 43,599.06 = 9,346.05 : x
  2. Step 2: Convert to fraction form
    29,065.50/43,599.06 = 9,346.05/x
  3. Step 3: Cross multiply
    29,065.50x = 43,599.06 × 9,346.05
  4. Step 4: Simplify right side
    29,065.50x = 407,478,994.71
  5. Step 5: Solve for x
    x = 407,478,994.71/29,065.50
  6. Step 6: Final answer
    x = 14,019.34

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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.