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Finding the Fourth Proportional to 30,541.84, 45,828.43 and 14,549.49

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Solution

The fourth proportional to 30,541.84, 45,828.43 and 14,549.49 is: 21,831.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,541.84 : 45,828.43 = 14,549.49 : x
  2. Step 2: Convert to fraction form
    30,541.84/45,828.43 = 14,549.49/x
  3. Step 3: Cross multiply
    30,541.84x = 45,828.43 × 14,549.49
  4. Step 4: Simplify right side
    30,541.84x = 666,780,054.86
  5. Step 5: Solve for x
    x = 666,780,054.86/30,541.84
  6. Step 6: Final answer
    x = 21,831.70

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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.