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Finding the Fourth Proportional to 35,720.96, 53,562.30 and 12,020.63

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Solution

The fourth proportional to 35,720.96, 53,562.30 and 12,020.63 is: 18,024.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,720.96 : 53,562.30 = 12,020.63 : x
  2. Step 2: Convert to fraction form
    35,720.96/53,562.30 = 12,020.63/x
  3. Step 3: Cross multiply
    35,720.96x = 53,562.30 × 12,020.63
  4. Step 4: Simplify right side
    35,720.96x = 643,852,478.72
  5. Step 5: Solve for x
    x = 643,852,478.72/35,720.96
  6. Step 6: Final answer
    x = 18,024.50

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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.