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Finding the Fourth Proportional to 46,811.61, 70,202.81 and 15,639.57

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Solution

The fourth proportional to 46,811.61, 70,202.81 and 15,639.57 is: 23,454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,811.61 : 70,202.81 = 15,639.57 : x
  2. Step 2: Convert to fraction form
    46,811.61/70,202.81 = 15,639.57/x
  3. Step 3: Cross multiply
    46,811.61x = 70,202.81 × 15,639.57
  4. Step 4: Simplify right side
    46,811.61x = 1,097,941,682.99
  5. Step 5: Solve for x
    x = 1,097,941,682.99/46,811.61
  6. Step 6: Final answer
    x = 23,454.47

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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.