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Finding the Fourth Proportional to 46,381.68, 69,558.12 and 15,210

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Solution

The fourth proportional to 46,381.68, 69,558.12 and 15,210 is: 22,810.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,381.68 : 69,558.12 = 15,210 : x
  2. Step 2: Convert to fraction form
    46,381.68/69,558.12 = 15,210/x
  3. Step 3: Cross multiply
    46,381.68x = 69,558.12 × 15,210
  4. Step 4: Simplify right side
    46,381.68x = 1,057,979,005.20
  5. Step 5: Solve for x
    x = 1,057,979,005.20/46,381.68
  6. Step 6: Final answer
    x = 22,810.28

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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.