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Finding the Fourth Proportional to 30,114.83, 45,172.98 and 10,124.61

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Solution

The fourth proportional to 30,114.83, 45,172.98 and 10,124.61 is: 15,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,114.83 : 45,172.98 = 10,124.61 : x
  2. Step 2: Convert to fraction form
    30,114.83/45,172.98 = 10,124.61/x
  3. Step 3: Cross multiply
    30,114.83x = 45,172.98 × 10,124.61
  4. Step 4: Simplify right side
    30,114.83x = 457,358,805.04
  5. Step 5: Solve for x
    x = 457,358,805.04/30,114.83
  6. Step 6: Final answer
    x = 15,187.16

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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.