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Finding the Fourth Proportional to 106,051.47, 159,068.93 and 61,649.90

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Solution

The fourth proportional to 106,051.47, 159,068.93 and 61,649.90 is: 92,470.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,051.47 : 159,068.93 = 61,649.90 : x
  2. Step 2: Convert to fraction form
    106,051.47/159,068.93 = 61,649.90/x
  3. Step 3: Cross multiply
    106,051.47x = 159,068.93 × 61,649.90
  4. Step 4: Simplify right side
    106,051.47x = 9,806,582,524.01
  5. Step 5: Solve for x
    x = 9,806,582,524.01/106,051.47
  6. Step 6: Final answer
    x = 92,470.03

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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.