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Finding the Fourth Proportional to 30,001.60, 45,002.40 and 9,225.10

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Solution

The fourth proportional to 30,001.60, 45,002.40 and 9,225.10 is: 13,837.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,001.60 : 45,002.40 = 9,225.10 : x
  2. Step 2: Convert to fraction form
    30,001.60/45,002.40 = 9,225.10/x
  3. Step 3: Cross multiply
    30,001.60x = 45,002.40 × 9,225.10
  4. Step 4: Simplify right side
    30,001.60x = 415,151,640.24
  5. Step 5: Solve for x
    x = 415,151,640.24/30,001.60
  6. Step 6: Final answer
    x = 13,837.65

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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.