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Finding the Fourth Proportional to 30,000.10, 45,000.15 and 10,276.90

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Solution

The fourth proportional to 30,000.10, 45,000.15 and 10,276.90 is: 15,415.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,000.10 : 45,000.15 = 10,276.90 : x
  2. Step 2: Convert to fraction form
    30,000.10/45,000.15 = 10,276.90/x
  3. Step 3: Cross multiply
    30,000.10x = 45,000.15 × 10,276.90
  4. Step 4: Simplify right side
    30,000.10x = 462,462,041.54
  5. Step 5: Solve for x
    x = 462,462,041.54/30,000.10
  6. Step 6: Final answer
    x = 15,415.35

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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.