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Finding the Fourth Proportional to 34,294.40, 51,441.60 and 9,670.40

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Solution

The fourth proportional to 34,294.40, 51,441.60 and 9,670.40 is: 14,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,294.40 : 51,441.60 = 9,670.40 : x
  2. Step 2: Convert to fraction form
    34,294.40/51,441.60 = 9,670.40/x
  3. Step 3: Cross multiply
    34,294.40x = 51,441.60 × 9,670.40
  4. Step 4: Simplify right side
    34,294.40x = 497,460,848.64
  5. Step 5: Solve for x
    x = 497,460,848.64/34,294.40
  6. Step 6: Final answer
    x = 14,505.60

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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.