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Finding the Fourth Proportional to 35,633.92, 53,472 and 19,852.16

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Solution

The fourth proportional to 35,633.92, 53,472 and 19,852.16 is: 29,790.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,633.92 : 53,472 = 19,852.16 : x
  2. Step 2: Convert to fraction form
    35,633.92/53,472 = 19,852.16/x
  3. Step 3: Cross multiply
    35,633.92x = 53,472 × 19,852.16
  4. Step 4: Simplify right side
    35,633.92x = 1,061,534,699.52
  5. Step 5: Solve for x
    x = 1,061,534,699.52/35,633.92
  6. Step 6: Final answer
    x = 29,790.01

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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.