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Finding the Fourth Proportional to 27,307.72, 40,971.30 and 9,779.32

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Solution

The fourth proportional to 27,307.72, 40,971.30 and 9,779.32 is: 14,672.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,307.72 : 40,971.30 = 9,779.32 : x
  2. Step 2: Convert to fraction form
    27,307.72/40,971.30 = 9,779.32/x
  3. Step 3: Cross multiply
    27,307.72x = 40,971.30 × 9,779.32
  4. Step 4: Simplify right side
    27,307.72x = 400,671,453.52
  5. Step 5: Solve for x
    x = 400,671,453.52/27,307.72
  6. Step 6: Final answer
    x = 14,672.46

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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.