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Finding the Fourth Proportional to 29,762.56, 44,648 and 10,046.80

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Solution

The fourth proportional to 29,762.56, 44,648 and 10,046.80 is: 15,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,762.56 : 44,648 = 10,046.80 : x
  2. Step 2: Convert to fraction form
    29,762.56/44,648 = 10,046.80/x
  3. Step 3: Cross multiply
    29,762.56x = 44,648 × 10,046.80
  4. Step 4: Simplify right side
    29,762.56x = 448,569,526.40
  5. Step 5: Solve for x
    x = 448,569,526.40/29,762.56
  6. Step 6: Final answer
    x = 15,071.60

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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.