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Finding the Fourth Proportional to 31,258, 46,898.52 and 16,466.32

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Solution

The fourth proportional to 31,258, 46,898.52 and 16,466.32 is: 24,705.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,258 : 46,898.52 = 16,466.32 : x
  2. Step 2: Convert to fraction form
    31,258/46,898.52 = 16,466.32/x
  3. Step 3: Cross multiply
    31,258x = 46,898.52 × 16,466.32
  4. Step 4: Simplify right side
    31,258x = 772,246,037.85
  5. Step 5: Solve for x
    x = 772,246,037.85/31,258
  6. Step 6: Final answer
    x = 24,705.55

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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.