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Finding the Fourth Proportional to 35,728.74, 53,580.79 and 14,662.87

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Solution

The fourth proportional to 35,728.74, 53,580.79 and 14,662.87 is: 21,989.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,728.74 : 53,580.79 = 14,662.87 : x
  2. Step 2: Convert to fraction form
    35,728.74/53,580.79 = 14,662.87/x
  3. Step 3: Cross multiply
    35,728.74x = 53,580.79 × 14,662.87
  4. Step 4: Simplify right side
    35,728.74x = 785,648,158.27
  5. Step 5: Solve for x
    x = 785,648,158.27/35,728.74
  6. Step 6: Final answer
    x = 21,989.25

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1.5x scale

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.