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Finding the Fourth Proportional to 34,746.50, 47,989.78 and 23,549.06

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Solution

The fourth proportional to 34,746.50, 47,989.78 and 23,549.06 is: 32,524.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,746.50 : 47,989.78 = 23,549.06 : x
  2. Step 2: Convert to fraction form
    34,746.50/47,989.78 = 23,549.06/x
  3. Step 3: Cross multiply
    34,746.50x = 47,989.78 × 23,549.06
  4. Step 4: Simplify right side
    34,746.50x = 1,130,114,208.61
  5. Step 5: Solve for x
    x = 1,130,114,208.61/34,746.50
  6. Step 6: Final answer
    x = 32,524.55

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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.