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Finding the Fourth Proportional to 99,018.56, 148,534.32 and 28,892

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Solution

The fourth proportional to 99,018.56, 148,534.32 and 28,892 is: 43,339.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,018.56 : 148,534.32 = 28,892 : x
  2. Step 2: Convert to fraction form
    99,018.56/148,534.32 = 28,892/x
  3. Step 3: Cross multiply
    99,018.56x = 148,534.32 × 28,892
  4. Step 4: Simplify right side
    99,018.56x = 4,291,453,573.44
  5. Step 5: Solve for x
    x = 4,291,453,573.44/99,018.56
  6. Step 6: Final answer
    x = 43,339.89

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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.