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Finding the Fourth Proportional to 34,617.64, 51,948.54 and 12,430.54

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Solution

The fourth proportional to 34,617.64, 51,948.54 and 12,430.54 is: 18,653.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,617.64 : 51,948.54 = 12,430.54 : x
  2. Step 2: Convert to fraction form
    34,617.64/51,948.54 = 12,430.54/x
  3. Step 3: Cross multiply
    34,617.64x = 51,948.54 × 12,430.54
  4. Step 4: Simplify right side
    34,617.64x = 645,748,404.41
  5. Step 5: Solve for x
    x = 645,748,404.41/34,617.64
  6. Step 6: Final answer
    x = 18,653.74

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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.