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Finding the Fourth Proportional to 30,828.42, 46,258.83 and 16,798.50

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Solution

The fourth proportional to 30,828.42, 46,258.83 and 16,798.50 is: 25,206.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,828.42 : 46,258.83 = 16,798.50 : x
  2. Step 2: Convert to fraction form
    30,828.42/46,258.83 = 16,798.50/x
  3. Step 3: Cross multiply
    30,828.42x = 46,258.83 × 16,798.50
  4. Step 4: Simplify right side
    30,828.42x = 777,078,955.76
  5. Step 5: Solve for x
    x = 777,078,955.76/30,828.42
  6. Step 6: Final answer
    x = 25,206.58

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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.