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Finding the Fourth Proportional to 46,517, 70,085.70 and 42,079.82

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Solution

The fourth proportional to 46,517, 70,085.70 and 42,079.82 is: 63,400.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,517 : 70,085.70 = 42,079.82 : x
  2. Step 2: Convert to fraction form
    46,517/70,085.70 = 42,079.82/x
  3. Step 3: Cross multiply
    46,517x = 70,085.70 × 42,079.82
  4. Step 4: Simplify right side
    46,517x = 2,949,193,640.57
  5. Step 5: Solve for x
    x = 2,949,193,640.57/46,517
  6. Step 6: Final answer
    x = 63,400.34

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.