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Finding the Fourth Proportional to 35,409.72, 53,114.71 and 13,222.86

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Solution

The fourth proportional to 35,409.72, 53,114.71 and 13,222.86 is: 19,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,409.72 : 53,114.71 = 13,222.86 : x
  2. Step 2: Convert to fraction form
    35,409.72/53,114.71 = 13,222.86/x
  3. Step 3: Cross multiply
    35,409.72x = 53,114.71 × 13,222.86
  4. Step 4: Simplify right side
    35,409.72x = 702,328,374.27
  5. Step 5: Solve for x
    x = 702,328,374.27/35,409.72
  6. Step 6: Final answer
    x = 19,834.34

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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.