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Finding the Fourth Proportional to 35,333.53, 53,002.11 and 9,038.50

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Solution

The fourth proportional to 35,333.53, 53,002.11 and 9,038.50 is: 13,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,333.53 : 53,002.11 = 9,038.50 : x
  2. Step 2: Convert to fraction form
    35,333.53/53,002.11 = 9,038.50/x
  3. Step 3: Cross multiply
    35,333.53x = 53,002.11 × 9,038.50
  4. Step 4: Simplify right side
    35,333.53x = 479,059,472.62
  5. Step 5: Solve for x
    x = 479,059,472.62/35,333.53
  6. Step 6: Final answer
    x = 13,558.21

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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.