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Finding the Fourth Proportional to 141,031.44, 211,547.82 and 47,538

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Solution

The fourth proportional to 141,031.44, 211,547.82 and 47,538 is: 71,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,031.44 : 211,547.82 = 47,538 : x
  2. Step 2: Convert to fraction form
    141,031.44/211,547.82 = 47,538/x
  3. Step 3: Cross multiply
    141,031.44x = 211,547.82 × 47,538
  4. Step 4: Simplify right side
    141,031.44x = 10,056,560,267.16
  5. Step 5: Solve for x
    x = 10,056,560,267.16/141,031.44
  6. Step 6: Final answer
    x = 71,307.22

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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.