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Finding the Fourth Proportional to 35,759.94, 53,642.54 and 9,464.50

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Solution

The fourth proportional to 35,759.94, 53,642.54 and 9,464.50 is: 14,197.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,759.94 : 53,642.54 = 9,464.50 : x
  2. Step 2: Convert to fraction form
    35,759.94/53,642.54 = 9,464.50/x
  3. Step 3: Cross multiply
    35,759.94x = 53,642.54 × 9,464.50
  4. Step 4: Simplify right side
    35,759.94x = 507,699,819.83
  5. Step 5: Solve for x
    x = 507,699,819.83/35,759.94
  6. Step 6: Final answer
    x = 14,197.45

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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.