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Finding the Fourth Proportional to 99,004.74, 148,534.54 and 45,713

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Solution

The fourth proportional to 99,004.74, 148,534.54 and 45,713 is: 68,582.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,004.74 : 148,534.54 = 45,713 : x
  2. Step 2: Convert to fraction form
    99,004.74/148,534.54 = 45,713/x
  3. Step 3: Cross multiply
    99,004.74x = 148,534.54 × 45,713
  4. Step 4: Simplify right side
    99,004.74x = 6,789,959,427.02
  5. Step 5: Solve for x
    x = 6,789,959,427.02/99,004.74
  6. Step 6: Final answer
    x = 68,582.17

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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.