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Finding the Fourth Proportional to 29,386.32, 44,084.94 and 9,665.64

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Solution

The fourth proportional to 29,386.32, 44,084.94 and 9,665.64 is: 14,500.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,386.32 : 44,084.94 = 9,665.64 : x
  2. Step 2: Convert to fraction form
    29,386.32/44,084.94 = 9,665.64/x
  3. Step 3: Cross multiply
    29,386.32x = 44,084.94 × 9,665.64
  4. Step 4: Simplify right side
    29,386.32x = 426,109,159.46
  5. Step 5: Solve for x
    x = 426,109,159.46/29,386.32
  6. Step 6: Final answer
    x = 14,500.26

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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.