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Finding the Fourth Proportional to 30,926.36, 42,678.44 and 16,779.24

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Solution

The fourth proportional to 30,926.36, 42,678.44 and 16,779.24 is: 23,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,926.36 : 42,678.44 = 16,779.24 : x
  2. Step 2: Convert to fraction form
    30,926.36/42,678.44 = 16,779.24/x
  3. Step 3: Cross multiply
    30,926.36x = 42,678.44 × 16,779.24
  4. Step 4: Simplify right side
    30,926.36x = 716,111,787.59
  5. Step 5: Solve for x
    x = 716,111,787.59/30,926.36
  6. Step 6: Final answer
    x = 23,155.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.