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Finding the Fourth Proportional to 29,316.74, 43,981.94 and 9,594.10

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Solution

The fourth proportional to 29,316.74, 43,981.94 and 9,594.10 is: 14,393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,316.74 : 43,981.94 = 9,594.10 : x
  2. Step 2: Convert to fraction form
    29,316.74/43,981.94 = 9,594.10/x
  3. Step 3: Cross multiply
    29,316.74x = 43,981.94 × 9,594.10
  4. Step 4: Simplify right side
    29,316.74x = 421,966,908.15
  5. Step 5: Solve for x
    x = 421,966,908.15/29,316.74
  6. Step 6: Final answer
    x = 14,393.38

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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.