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Finding the Fourth Proportional to 35,134.68, 52,702.04 and 14,358.16

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Solution

The fourth proportional to 35,134.68, 52,702.04 and 14,358.16 is: 21,537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,134.68 : 52,702.04 = 14,358.16 : x
  2. Step 2: Convert to fraction form
    35,134.68/52,702.04 = 14,358.16/x
  3. Step 3: Cross multiply
    35,134.68x = 52,702.04 × 14,358.16
  4. Step 4: Simplify right side
    35,134.68x = 756,704,322.65
  5. Step 5: Solve for x
    x = 756,704,322.65/35,134.68
  6. Step 6: Final answer
    x = 21,537.25

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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.