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Finding the Fourth Proportional to 30,023.56, 45,024.54 and 10,297

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Solution

The fourth proportional to 30,023.56, 45,024.54 and 10,297 is: 15,441.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,023.56 : 45,024.54 = 10,297 : x
  2. Step 2: Convert to fraction form
    30,023.56/45,024.54 = 10,297/x
  3. Step 3: Cross multiply
    30,023.56x = 45,024.54 × 10,297
  4. Step 4: Simplify right side
    30,023.56x = 463,617,688.38
  5. Step 5: Solve for x
    x = 463,617,688.38/30,023.56
  6. Step 6: Final answer
    x = 15,441.80

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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.