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Finding the Fourth Proportional to 46,492.86, 69,737.46 and 19,827.86

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Solution

The fourth proportional to 46,492.86, 69,737.46 and 19,827.86 is: 29,741.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,492.86 : 69,737.46 = 19,827.86 : x
  2. Step 2: Convert to fraction form
    46,492.86/69,737.46 = 19,827.86/x
  3. Step 3: Cross multiply
    46,492.86x = 69,737.46 × 19,827.86
  4. Step 4: Simplify right side
    46,492.86x = 1,382,744,593.64
  5. Step 5: Solve for x
    x = 1,382,744,593.64/46,492.86
  6. Step 6: Final answer
    x = 29,741.01

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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.