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Finding the Fourth Proportional to 48,415.32, 66,831.99 and 30,506.83

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Solution

The fourth proportional to 48,415.32, 66,831.99 and 30,506.83 is: 42,111.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,415.32 : 66,831.99 = 30,506.83 : x
  2. Step 2: Convert to fraction form
    48,415.32/66,831.99 = 30,506.83/x
  3. Step 3: Cross multiply
    48,415.32x = 66,831.99 × 30,506.83
  4. Step 4: Simplify right side
    48,415.32x = 2,038,831,876.01
  5. Step 5: Solve for x
    x = 2,038,831,876.01/48,415.32
  6. Step 6: Final answer
    x = 42,111.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.