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Finding the Fourth Proportional to 29,970.32, 44,951.64 and 9,192.08

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Solution

The fourth proportional to 29,970.32, 44,951.64 and 9,192.08 is: 13,786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,970.32 : 44,951.64 = 9,192.08 : x
  2. Step 2: Convert to fraction form
    29,970.32/44,951.64 = 9,192.08/x
  3. Step 3: Cross multiply
    29,970.32x = 44,951.64 × 9,192.08
  4. Step 4: Simplify right side
    29,970.32x = 413,199,071.01
  5. Step 5: Solve for x
    x = 413,199,071.01/29,970.32
  6. Step 6: Final answer
    x = 13,786.94

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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.