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Finding the Fourth Proportional to 58,382.64, 87,574.68 and 16,830

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Solution

The fourth proportional to 58,382.64, 87,574.68 and 16,830 is: 25,245.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,382.64 : 87,574.68 = 16,830 : x
  2. Step 2: Convert to fraction form
    58,382.64/87,574.68 = 16,830/x
  3. Step 3: Cross multiply
    58,382.64x = 87,574.68 × 16,830
  4. Step 4: Simplify right side
    58,382.64x = 1,473,881,864.40
  5. Step 5: Solve for x
    x = 1,473,881,864.40/58,382.64
  6. Step 6: Final answer
    x = 25,245.21

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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.