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Finding the Fourth Proportional to 46,356, 69,530.76 and 24,181.89

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Solution

The fourth proportional to 46,356, 69,530.76 and 24,181.89 is: 36,271.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,356 : 69,530.76 = 24,181.89 : x
  2. Step 2: Convert to fraction form
    46,356/69,530.76 = 24,181.89/x
  3. Step 3: Cross multiply
    46,356x = 69,530.76 × 24,181.89
  4. Step 4: Simplify right side
    46,356x = 1,681,385,189.94
  5. Step 5: Solve for x
    x = 1,681,385,189.94/46,356
  6. Step 6: Final answer
    x = 36,271.14

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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.