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Finding the Fourth Proportional to 49,977.30, 74,978.93 and 14,916.96

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Solution

The fourth proportional to 49,977.30, 74,978.93 and 14,916.96 is: 22,379.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,977.30 : 74,978.93 = 14,916.96 : x
  2. Step 2: Convert to fraction form
    49,977.30/74,978.93 = 14,916.96/x
  3. Step 3: Cross multiply
    49,977.30x = 74,978.93 × 14,916.96
  4. Step 4: Simplify right side
    49,977.30x = 1,118,457,625.07
  5. Step 5: Solve for x
    x = 1,118,457,625.07/49,977.30
  6. Step 6: Final answer
    x = 22,379.31

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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.