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Finding the Fourth Proportional to 35,711.50, 53,569.73 and 14,935

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Solution

The fourth proportional to 35,711.50, 53,569.73 and 14,935 is: 22,403.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,711.50 : 53,569.73 = 14,935 : x
  2. Step 2: Convert to fraction form
    35,711.50/53,569.73 = 14,935/x
  3. Step 3: Cross multiply
    35,711.50x = 53,569.73 × 14,935
  4. Step 4: Simplify right side
    35,711.50x = 800,063,917.55
  5. Step 5: Solve for x
    x = 800,063,917.55/35,711.50
  6. Step 6: Final answer
    x = 22,403.54

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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.