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Finding the Fourth Proportional to 101,590.26, 152,478.94 and 51,706

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Solution

The fourth proportional to 101,590.26, 152,478.94 and 51,706 is: 77,606.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,590.26 : 152,478.94 = 51,706 : x
  2. Step 2: Convert to fraction form
    101,590.26/152,478.94 = 51,706/x
  3. Step 3: Cross multiply
    101,590.26x = 152,478.94 × 51,706
  4. Step 4: Simplify right side
    101,590.26x = 7,884,076,071.64
  5. Step 5: Solve for x
    x = 7,884,076,071.64/101,590.26
  6. Step 6: Final answer
    x = 77,606.61

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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.