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Finding the Fourth Proportional to 35,510.38, 53,267.58 and 9,214.42

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Solution

The fourth proportional to 35,510.38, 53,267.58 and 9,214.42 is: 13,822.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,510.38 : 53,267.58 = 9,214.42 : x
  2. Step 2: Convert to fraction form
    35,510.38/53,267.58 = 9,214.42/x
  3. Step 3: Cross multiply
    35,510.38x = 53,267.58 × 9,214.42
  4. Step 4: Simplify right side
    35,510.38x = 490,829,854.50
  5. Step 5: Solve for x
    x = 490,829,854.50/35,510.38
  6. Step 6: Final answer
    x = 13,822.15

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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.