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Finding the Fourth Proportional to 51,446.65, 77,184.59 and 16,389.01

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Solution

The fourth proportional to 51,446.65, 77,184.59 and 16,389.01 is: 24,588.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,446.65 : 77,184.59 = 16,389.01 : x
  2. Step 2: Convert to fraction form
    51,446.65/77,184.59 = 16,389.01/x
  3. Step 3: Cross multiply
    51,446.65x = 77,184.59 × 16,389.01
  4. Step 4: Simplify right side
    51,446.65x = 1,264,979,017.36
  5. Step 5: Solve for x
    x = 1,264,979,017.36/51,446.65
  6. Step 6: Final answer
    x = 24,588.17

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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.