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Finding the Fourth Proportional to 46,468.48, 69,696.80 and 14,881.82

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Solution

The fourth proportional to 46,468.48, 69,696.80 and 14,881.82 is: 22,320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,468.48 : 69,696.80 = 14,881.82 : x
  2. Step 2: Convert to fraction form
    46,468.48/69,696.80 = 14,881.82/x
  3. Step 3: Cross multiply
    46,468.48x = 69,696.80 × 14,881.82
  4. Step 4: Simplify right side
    46,468.48x = 1,037,215,157.77
  5. Step 5: Solve for x
    x = 1,037,215,157.77/46,468.48
  6. Step 6: Final answer
    x = 22,320.83

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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.