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Finding the Fourth Proportional to 34,913.52, 52,378.48 and 11,539.96

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Solution

The fourth proportional to 34,913.52, 52,378.48 and 11,539.96 is: 17,312.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,913.52 : 52,378.48 = 11,539.96 : x
  2. Step 2: Convert to fraction form
    34,913.52/52,378.48 = 11,539.96/x
  3. Step 3: Cross multiply
    34,913.52x = 52,378.48 × 11,539.96
  4. Step 4: Simplify right side
    34,913.52x = 604,445,302.17
  5. Step 5: Solve for x
    x = 604,445,302.17/34,913.52
  6. Step 6: Final answer
    x = 17,312.64

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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.