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Finding the Fourth Proportional to 30,005.10, 45,007.65 and 9,228.60

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Solution

The fourth proportional to 30,005.10, 45,007.65 and 9,228.60 is: 13,842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,005.10 : 45,007.65 = 9,228.60 : x
  2. Step 2: Convert to fraction form
    30,005.10/45,007.65 = 9,228.60/x
  3. Step 3: Cross multiply
    30,005.10x = 45,007.65 × 9,228.60
  4. Step 4: Simplify right side
    30,005.10x = 415,357,598.79
  5. Step 5: Solve for x
    x = 415,357,598.79/30,005.10
  6. Step 6: Final answer
    x = 13,842.90

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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.