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Finding the Fourth Proportional to 30,878.95, 46,316.60 and 19,035

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Solution

The fourth proportional to 30,878.95, 46,316.60 and 19,035 is: 28,551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,878.95 : 46,316.60 = 19,035 : x
  2. Step 2: Convert to fraction form
    30,878.95/46,316.60 = 19,035/x
  3. Step 3: Cross multiply
    30,878.95x = 46,316.60 × 19,035
  4. Step 4: Simplify right side
    30,878.95x = 881,636,481
  5. Step 5: Solve for x
    x = 881,636,481/30,878.95
  6. Step 6: Final answer
    x = 28,551.37

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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.