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Finding the Fourth Proportional to 34,068.25, 51,102.51 and 9,444.25

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Solution

The fourth proportional to 34,068.25, 51,102.51 and 9,444.25 is: 14,166.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,068.25 : 51,102.51 = 9,444.25 : x
  2. Step 2: Convert to fraction form
    34,068.25/51,102.51 = 9,444.25/x
  3. Step 3: Cross multiply
    34,068.25x = 51,102.51 × 9,444.25
  4. Step 4: Simplify right side
    34,068.25x = 482,624,880.07
  5. Step 5: Solve for x
    x = 482,624,880.07/34,068.25
  6. Step 6: Final answer
    x = 14,166.41

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1.5x scale

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.