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Finding the Fourth Proportional to 30,779.32, 42,466.02 and 18,830.20

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Solution

The fourth proportional to 30,779.32, 42,466.02 and 18,830.20 is: 25,979.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,779.32 : 42,466.02 = 18,830.20 : x
  2. Step 2: Convert to fraction form
    30,779.32/42,466.02 = 18,830.20/x
  3. Step 3: Cross multiply
    30,779.32x = 42,466.02 × 18,830.20
  4. Step 4: Simplify right side
    30,779.32x = 799,643,649.80
  5. Step 5: Solve for x
    x = 799,643,649.80/30,779.32
  6. Step 6: Final answer
    x = 25,979.90

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