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Finding the Fourth Proportional to 30,915.37, 46,376.74 and 9,848.02

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Solution

The fourth proportional to 30,915.37, 46,376.74 and 9,848.02 is: 14,773.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,915.37 : 46,376.74 = 9,848.02 : x
  2. Step 2: Convert to fraction form
    30,915.37/46,376.74 = 9,848.02/x
  3. Step 3: Cross multiply
    30,915.37x = 46,376.74 × 9,848.02
  4. Step 4: Simplify right side
    30,915.37x = 456,719,063.05
  5. Step 5: Solve for x
    x = 456,719,063.05/30,915.37
  6. Step 6: Final answer
    x = 14,773.20

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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.