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Finding the Fourth Proportional to 30,258.43, 45,390.06 and 9,200.35

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Solution

The fourth proportional to 30,258.43, 45,390.06 and 9,200.35 is: 13,801.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,258.43 : 45,390.06 = 9,200.35 : x
  2. Step 2: Convert to fraction form
    30,258.43/45,390.06 = 9,200.35/x
  3. Step 3: Cross multiply
    30,258.43x = 45,390.06 × 9,200.35
  4. Step 4: Simplify right side
    30,258.43x = 417,604,495.26
  5. Step 5: Solve for x
    x = 417,604,495.26/30,258.43
  6. Step 6: Final answer
    x = 13,801.26

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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.