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Finding the Fourth Proportional to 30,762.20, 46,129.80 and 14,116.70

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Solution

The fourth proportional to 30,762.20, 46,129.80 and 14,116.70 is: 21,168.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,762.20 : 46,129.80 = 14,116.70 : x
  2. Step 2: Convert to fraction form
    30,762.20/46,129.80 = 14,116.70/x
  3. Step 3: Cross multiply
    30,762.20x = 46,129.80 × 14,116.70
  4. Step 4: Simplify right side
    30,762.20x = 651,200,547.66
  5. Step 5: Solve for x
    x = 651,200,547.66/30,762.20
  6. Step 6: Final answer
    x = 21,168.85

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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.