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Finding the Fourth Proportional to 35,732.60, 53,601.48 and 9,437

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Solution

The fourth proportional to 35,732.60, 53,601.48 and 9,437 is: 14,156.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,732.60 : 53,601.48 = 9,437 : x
  2. Step 2: Convert to fraction form
    35,732.60/53,601.48 = 9,437/x
  3. Step 3: Cross multiply
    35,732.60x = 53,601.48 × 9,437
  4. Step 4: Simplify right side
    35,732.60x = 505,837,166.76
  5. Step 5: Solve for x
    x = 505,837,166.76/35,732.60
  6. Step 6: Final answer
    x = 14,156.18

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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.