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Finding the Fourth Proportional to 30,225.51, 45,338.16 and 8,038.86

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Solution

The fourth proportional to 30,225.51, 45,338.16 and 8,038.86 is: 12,058.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,225.51 : 45,338.16 = 8,038.86 : x
  2. Step 2: Convert to fraction form
    30,225.51/45,338.16 = 8,038.86/x
  3. Step 3: Cross multiply
    30,225.51x = 45,338.16 × 8,038.86
  4. Step 4: Simplify right side
    30,225.51x = 364,467,120.90
  5. Step 5: Solve for x
    x = 364,467,120.90/30,225.51
  6. Step 6: Final answer
    x = 12,058.26

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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.