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Finding the Fourth Proportional to 49,810.98, 74,728.93 and 14,275.27

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Solution

The fourth proportional to 49,810.98, 74,728.93 and 14,275.27 is: 21,416.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,810.98 : 74,728.93 = 14,275.27 : x
  2. Step 2: Convert to fraction form
    49,810.98/74,728.93 = 14,275.27/x
  3. Step 3: Cross multiply
    49,810.98x = 74,728.93 × 14,275.27
  4. Step 4: Simplify right side
    49,810.98x = 1,066,775,737.05
  5. Step 5: Solve for x
    x = 1,066,775,737.05/49,810.98
  6. Step 6: Final answer
    x = 21,416.48

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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.