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Finding the Fourth Proportional to 29,290, 43,935.16 and 7,402

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Solution

The fourth proportional to 29,290, 43,935.16 and 7,402 is: 11,103.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,290 : 43,935.16 = 7,402 : x
  2. Step 2: Convert to fraction form
    29,290/43,935.16 = 7,402/x
  3. Step 3: Cross multiply
    29,290x = 43,935.16 × 7,402
  4. Step 4: Simplify right side
    29,290x = 325,208,054.32
  5. Step 5: Solve for x
    x = 325,208,054.32/29,290
  6. Step 6: Final answer
    x = 11,103.04

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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.