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Finding the Fourth Proportional to 30,748.68, 46,127.88 and 13,219.20

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Solution

The fourth proportional to 30,748.68, 46,127.88 and 13,219.20 is: 19,830.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,748.68 : 46,127.88 = 13,219.20 : x
  2. Step 2: Convert to fraction form
    30,748.68/46,127.88 = 13,219.20/x
  3. Step 3: Cross multiply
    30,748.68x = 46,127.88 × 13,219.20
  4. Step 4: Simplify right side
    30,748.68x = 609,773,671.30
  5. Step 5: Solve for x
    x = 609,773,671.30/30,748.68
  6. Step 6: Final answer
    x = 19,830.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.