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Finding the Fourth Proportional to 30,200.10, 45,263.70 and 15,401.40

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Solution

The fourth proportional to 30,200.10, 45,263.70 and 15,401.40 is: 23,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,200.10 : 45,263.70 = 15,401.40 : x
  2. Step 2: Convert to fraction form
    30,200.10/45,263.70 = 15,401.40/x
  3. Step 3: Cross multiply
    30,200.10x = 45,263.70 × 15,401.40
  4. Step 4: Simplify right side
    30,200.10x = 697,124,349.18
  5. Step 5: Solve for x
    x = 697,124,349.18/30,200.10
  6. Step 6: Final answer
    x = 23,083.51

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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.