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Finding the Fourth Proportional to 30,718.50, 46,085.31 and 9,942

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Solution

The fourth proportional to 30,718.50, 46,085.31 and 9,942 is: 14,915.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,718.50 : 46,085.31 = 9,942 : x
  2. Step 2: Convert to fraction form
    30,718.50/46,085.31 = 9,942/x
  3. Step 3: Cross multiply
    30,718.50x = 46,085.31 × 9,942
  4. Step 4: Simplify right side
    30,718.50x = 458,180,152.02
  5. Step 5: Solve for x
    x = 458,180,152.02/30,718.50
  6. Step 6: Final answer
    x = 14,915.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.