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Finding the Fourth Proportional to 30,397.24, 45,598.48 and 8,210.52

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Solution

The fourth proportional to 30,397.24, 45,598.48 and 8,210.52 is: 12,316.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,397.24 : 45,598.48 = 8,210.52 : x
  2. Step 2: Convert to fraction form
    30,397.24/45,598.48 = 8,210.52/x
  3. Step 3: Cross multiply
    30,397.24x = 45,598.48 × 8,210.52
  4. Step 4: Simplify right side
    30,397.24x = 374,387,232.01
  5. Step 5: Solve for x
    x = 374,387,232.01/30,397.24
  6. Step 6: Final answer
    x = 12,316.49

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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.