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Finding the Fourth Proportional to 35,762.94, 49,353.66 and 19,847.16

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Solution

The fourth proportional to 35,762.94, 49,353.66 and 19,847.16 is: 27,389.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,762.94 : 49,353.66 = 19,847.16 : x
  2. Step 2: Convert to fraction form
    35,762.94/49,353.66 = 19,847.16/x
  3. Step 3: Cross multiply
    35,762.94x = 49,353.66 × 19,847.16
  4. Step 4: Simplify right side
    35,762.94x = 979,529,986.61
  5. Step 5: Solve for x
    x = 979,529,986.61/35,762.94
  6. Step 6: Final answer
    x = 27,389.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.