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Finding the Fourth Proportional to 114,024.65, 171,036.98 and 51,816.65

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Solution

The fourth proportional to 114,024.65, 171,036.98 and 51,816.65 is: 77,724.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,024.65 : 171,036.98 = 51,816.65 : x
  2. Step 2: Convert to fraction form
    114,024.65/171,036.98 = 51,816.65/x
  3. Step 3: Cross multiply
    114,024.65x = 171,036.98 × 51,816.65
  4. Step 4: Simplify right side
    114,024.65x = 8,862,563,070.63
  5. Step 5: Solve for x
    x = 8,862,563,070.63/114,024.65
  6. Step 6: Final answer
    x = 77,724.98

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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.