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Finding the Fourth Proportional to 30,975.70, 42,746.98 and 16,828.55

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Solution

The fourth proportional to 30,975.70, 42,746.98 and 16,828.55 is: 23,223.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,975.70 : 42,746.98 = 16,828.55 : x
  2. Step 2: Convert to fraction form
    30,975.70/42,746.98 = 16,828.55/x
  3. Step 3: Cross multiply
    30,975.70x = 42,746.98 × 16,828.55
  4. Step 4: Simplify right side
    30,975.70x = 719,369,690.28
  5. Step 5: Solve for x
    x = 719,369,690.28/30,975.70
  6. Step 6: Final answer
    x = 23,223.68

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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.