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Finding the Fourth Proportional to 30,522.16, 42,125.16 and 17,779.60

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Solution

The fourth proportional to 30,522.16, 42,125.16 and 17,779.60 is: 24,538.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,522.16 : 42,125.16 = 17,779.60 : x
  2. Step 2: Convert to fraction form
    30,522.16/42,125.16 = 17,779.60/x
  3. Step 3: Cross multiply
    30,522.16x = 42,125.16 × 17,779.60
  4. Step 4: Simplify right side
    30,522.16x = 748,968,494.74
  5. Step 5: Solve for x
    x = 748,968,494.74/30,522.16
  6. Step 6: Final answer
    x = 24,538.52

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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.