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Finding the Fourth Proportional to 43,407, 59,901.72 and 23,535

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Solution

The fourth proportional to 43,407, 59,901.72 and 23,535 is: 32,478.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,407 : 59,901.72 = 23,535 : x
  2. Step 2: Convert to fraction form
    43,407/59,901.72 = 23,535/x
  3. Step 3: Cross multiply
    43,407x = 59,901.72 × 23,535
  4. Step 4: Simplify right side
    43,407x = 1,409,786,980.20
  5. Step 5: Solve for x
    x = 1,409,786,980.20/43,407
  6. Step 6: Final answer
    x = 32,478.33

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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.