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Finding the Fourth Proportional to 51,804.69, 77,707.05 and 14,374.19

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Solution

The fourth proportional to 51,804.69, 77,707.05 and 14,374.19 is: 21,561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,804.69 : 77,707.05 = 14,374.19 : x
  2. Step 2: Convert to fraction form
    51,804.69/77,707.05 = 14,374.19/x
  3. Step 3: Cross multiply
    51,804.69x = 77,707.05 × 14,374.19
  4. Step 4: Simplify right side
    51,804.69x = 1,116,975,512.50
  5. Step 5: Solve for x
    x = 1,116,975,512.50/51,804.69
  6. Step 6: Final answer
    x = 21,561.28

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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.