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Finding the Fourth Proportional to 106,303.69, 159,433.62 and 47,101.60

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Solution

The fourth proportional to 106,303.69, 159,433.62 and 47,101.60 is: 70,642.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,303.69 : 159,433.62 = 47,101.60 : x
  2. Step 2: Convert to fraction form
    106,303.69/159,433.62 = 47,101.60/x
  3. Step 3: Cross multiply
    106,303.69x = 159,433.62 × 47,101.60
  4. Step 4: Simplify right side
    106,303.69x = 7,509,578,595.79
  5. Step 5: Solve for x
    x = 7,509,578,595.79/106,303.69
  6. Step 6: Final answer
    x = 70,642.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.