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Finding the Fourth Proportional to 34,463.40, 51,698.70 and 9,503.46

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Solution

The fourth proportional to 34,463.40, 51,698.70 and 9,503.46 is: 14,256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,463.40 : 51,698.70 = 9,503.46 : x
  2. Step 2: Convert to fraction form
    34,463.40/51,698.70 = 9,503.46/x
  3. Step 3: Cross multiply
    34,463.40x = 51,698.70 × 9,503.46
  4. Step 4: Simplify right side
    34,463.40x = 491,316,527.50
  5. Step 5: Solve for x
    x = 491,316,527.50/34,463.40
  6. Step 6: Final answer
    x = 14,256.18

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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.