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Finding the Fourth Proportional to 30,886.18, 46,328.81 and 9,827.50

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Solution

The fourth proportional to 30,886.18, 46,328.81 and 9,827.50 is: 14,741.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,886.18 : 46,328.81 = 9,827.50 : x
  2. Step 2: Convert to fraction form
    30,886.18/46,328.81 = 9,827.50/x
  3. Step 3: Cross multiply
    30,886.18x = 46,328.81 × 9,827.50
  4. Step 4: Simplify right side
    30,886.18x = 455,296,380.28
  5. Step 5: Solve for x
    x = 455,296,380.28/30,886.18
  6. Step 6: Final answer
    x = 14,741.10

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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.