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Finding the Fourth Proportional to 30,779.77, 46,256.22 and 18,302.02

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Solution

The fourth proportional to 30,779.77, 46,256.22 and 18,302.02 is: 27,504.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,779.77 : 46,256.22 = 18,302.02 : x
  2. Step 2: Convert to fraction form
    30,779.77/46,256.22 = 18,302.02/x
  3. Step 3: Cross multiply
    30,779.77x = 46,256.22 × 18,302.02
  4. Step 4: Simplify right side
    30,779.77x = 846,582,263.56
  5. Step 5: Solve for x
    x = 846,582,263.56/30,779.77
  6. Step 6: Final answer
    x = 27,504.50

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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.