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Finding the Fourth Proportional to 70,596, 105,915.87 and 29,043

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Solution

The fourth proportional to 70,596, 105,915.87 and 29,043 is: 43,573.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,596 : 105,915.87 = 29,043 : x
  2. Step 2: Convert to fraction form
    70,596/105,915.87 = 29,043/x
  3. Step 3: Cross multiply
    70,596x = 105,915.87 × 29,043
  4. Step 4: Simplify right side
    70,596x = 3,076,114,612.41
  5. Step 5: Solve for x
    x = 3,076,114,612.41/70,596
  6. Step 6: Final answer
    x = 43,573.50

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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.