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Finding the Fourth Proportional to 30,007.23, 45,010.86 and 7,820.55

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Solution

The fourth proportional to 30,007.23, 45,010.86 and 7,820.55 is: 11,730.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,007.23 : 45,010.86 = 7,820.55 : x
  2. Step 2: Convert to fraction form
    30,007.23/45,010.86 = 7,820.55/x
  3. Step 3: Cross multiply
    30,007.23x = 45,010.86 × 7,820.55
  4. Step 4: Simplify right side
    30,007.23x = 352,009,681.17
  5. Step 5: Solve for x
    x = 352,009,681.17/30,007.23
  6. Step 6: Final answer
    x = 11,730.83

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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.