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Finding the Fourth Proportional to 30,122.64, 45,138.18 and 23,856.48

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Solution

The fourth proportional to 30,122.64, 45,138.18 and 23,856.48 is: 35,748.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,122.64 : 45,138.18 = 23,856.48 : x
  2. Step 2: Convert to fraction form
    30,122.64/45,138.18 = 23,856.48/x
  3. Step 3: Cross multiply
    30,122.64x = 45,138.18 × 23,856.48
  4. Step 4: Simplify right side
    30,122.64x = 1,076,838,088.41
  5. Step 5: Solve for x
    x = 1,076,838,088.41/30,122.64
  6. Step 6: Final answer
    x = 35,748.46

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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.