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Finding the Fourth Proportional to 31,835.76, 47,519.95 and 29,490

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Solution

The fourth proportional to 31,835.76, 47,519.95 and 29,490 is: 44,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,835.76 : 47,519.95 = 29,490 : x
  2. Step 2: Convert to fraction form
    31,835.76/47,519.95 = 29,490/x
  3. Step 3: Cross multiply
    31,835.76x = 47,519.95 × 29,490
  4. Step 4: Simplify right side
    31,835.76x = 1,401,363,325.50
  5. Step 5: Solve for x
    x = 1,401,363,325.50/31,835.76
  6. Step 6: Final answer
    x = 44,018.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.