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Finding the Fourth Proportional to 35,401.08, 53,102.88 and 12,024.48

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Solution

The fourth proportional to 35,401.08, 53,102.88 and 12,024.48 is: 18,037.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,401.08 : 53,102.88 = 12,024.48 : x
  2. Step 2: Convert to fraction form
    35,401.08/53,102.88 = 12,024.48/x
  3. Step 3: Cross multiply
    35,401.08x = 53,102.88 × 12,024.48
  4. Step 4: Simplify right side
    35,401.08x = 638,534,518.50
  5. Step 5: Solve for x
    x = 638,534,518.50/35,401.08
  6. Step 6: Final answer
    x = 18,037.15

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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.