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Finding the Fourth Proportional to 31,852.58, 47,779.06 and 9,666

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Solution

The fourth proportional to 31,852.58, 47,779.06 and 9,666 is: 14,499.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,852.58 : 47,779.06 = 9,666 : x
  2. Step 2: Convert to fraction form
    31,852.58/47,779.06 = 9,666/x
  3. Step 3: Cross multiply
    31,852.58x = 47,779.06 × 9,666
  4. Step 4: Simplify right side
    31,852.58x = 461,832,393.96
  5. Step 5: Solve for x
    x = 461,832,393.96/31,852.58
  6. Step 6: Final answer
    x = 14,499.06

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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.