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Finding the Fourth Proportional to 35,535.50, 53,304.02 and 11,852.86

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Solution

The fourth proportional to 35,535.50, 53,304.02 and 11,852.86 is: 17,779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,535.50 : 53,304.02 = 11,852.86 : x
  2. Step 2: Convert to fraction form
    35,535.50/53,304.02 = 11,852.86/x
  3. Step 3: Cross multiply
    35,535.50x = 53,304.02 × 11,852.86
  4. Step 4: Simplify right side
    35,535.50x = 631,804,955.12
  5. Step 5: Solve for x
    x = 631,804,955.12/35,535.50
  6. Step 6: Final answer
    x = 17,779.54

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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.