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Finding the Fourth Proportional to 49,496, 74,058 and 34,733.72

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Solution

The fourth proportional to 49,496, 74,058 and 34,733.72 is: 51,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,496 : 74,058 = 34,733.72 : x
  2. Step 2: Convert to fraction form
    49,496/74,058 = 34,733.72/x
  3. Step 3: Cross multiply
    49,496x = 74,058 × 34,733.72
  4. Step 4: Simplify right side
    49,496x = 2,572,309,835.76
  5. Step 5: Solve for x
    x = 2,572,309,835.76/49,496
  6. Step 6: Final answer
    x = 51,970.05

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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.