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Finding the Fourth Proportional to 29,783.30, 44,662.80 and 10,051.70

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Solution

The fourth proportional to 29,783.30, 44,662.80 and 10,051.70 is: 15,073.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,783.30 : 44,662.80 = 10,051.70 : x
  2. Step 2: Convert to fraction form
    29,783.30/44,662.80 = 10,051.70/x
  3. Step 3: Cross multiply
    29,783.30x = 44,662.80 × 10,051.70
  4. Step 4: Simplify right side
    29,783.30x = 448,937,066.76
  5. Step 5: Solve for x
    x = 448,937,066.76/29,783.30
  6. Step 6: Final answer
    x = 15,073.45

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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.