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Finding the Fourth Proportional to 30,877.34, 46,316.00 and 11,155.46

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Solution

The fourth proportional to 30,877.34, 46,316.00 and 11,155.46 is: 16,733.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,877.34 : 46,316.00 = 11,155.46 : x
  2. Step 2: Convert to fraction form
    30,877.34/46,316.00 = 11,155.46/x
  3. Step 3: Cross multiply
    30,877.34x = 46,316.00 × 11,155.46
  4. Step 4: Simplify right side
    30,877.34x = 516,676,081.67
  5. Step 5: Solve for x
    x = 516,676,081.67/30,877.34
  6. Step 6: Final answer
    x = 16,733.18

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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.