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Finding the Fourth Proportional to 30,035.25, 45,056.52 and 9,258.75

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Solution

The fourth proportional to 30,035.25, 45,056.52 and 9,258.75 is: 13,889.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,035.25 : 45,056.52 = 9,258.75 : x
  2. Step 2: Convert to fraction form
    30,035.25/45,056.52 = 9,258.75/x
  3. Step 3: Cross multiply
    30,035.25x = 45,056.52 × 9,258.75
  4. Step 4: Simplify right side
    30,035.25x = 417,167,054.55
  5. Step 5: Solve for x
    x = 417,167,054.55/30,035.25
  6. Step 6: Final answer
    x = 13,889.25

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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.