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Finding the Fourth Proportional to 29,781.04, 44,678.04 and 9,004

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Solution

The fourth proportional to 29,781.04, 44,678.04 and 9,004 is: 13,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,781.04 : 44,678.04 = 9,004 : x
  2. Step 2: Convert to fraction form
    29,781.04/44,678.04 = 9,004/x
  3. Step 3: Cross multiply
    29,781.04x = 44,678.04 × 9,004
  4. Step 4: Simplify right side
    29,781.04x = 402,281,072.16
  5. Step 5: Solve for x
    x = 402,281,072.16/29,781.04
  6. Step 6: Final answer
    x = 13,507.96

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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.