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Finding the Fourth Proportional to 70,490.88, 105,752.52 and 31,051.04

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Solution

The fourth proportional to 70,490.88, 105,752.52 and 31,051.04 is: 46,583.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,490.88 : 105,752.52 = 31,051.04 : x
  2. Step 2: Convert to fraction form
    70,490.88/105,752.52 = 31,051.04/x
  3. Step 3: Cross multiply
    70,490.88x = 105,752.52 × 31,051.04
  4. Step 4: Simplify right side
    70,490.88x = 3,283,725,728.62
  5. Step 5: Solve for x
    x = 3,283,725,728.62/70,490.88
  6. Step 6: Final answer
    x = 46,583.70

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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.