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Finding the Fourth Proportional to 42,538.42, 63,802.74 and 11,376.10

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Solution

The fourth proportional to 42,538.42, 63,802.74 and 11,376.10 is: 17,062.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,538.42 : 63,802.74 = 11,376.10 : x
  2. Step 2: Convert to fraction form
    42,538.42/63,802.74 = 11,376.10/x
  3. Step 3: Cross multiply
    42,538.42x = 63,802.74 × 11,376.10
  4. Step 4: Simplify right side
    42,538.42x = 725,826,031.50
  5. Step 5: Solve for x
    x = 725,826,031.50/42,538.42
  6. Step 6: Final answer
    x = 17,062.84

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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.