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Finding the Fourth Proportional to 46,506, 69,759.06 and 21,532.44

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Solution

The fourth proportional to 46,506, 69,759.06 and 21,532.44 is: 32,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,506 : 69,759.06 = 21,532.44 : x
  2. Step 2: Convert to fraction form
    46,506/69,759.06 = 21,532.44/x
  3. Step 3: Cross multiply
    46,506x = 69,759.06 × 21,532.44
  4. Step 4: Simplify right side
    46,506x = 1,502,082,773.91
  5. Step 5: Solve for x
    x = 1,502,082,773.91/46,506
  6. Step 6: Final answer
    x = 32,298.69

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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.