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Finding the Fourth Proportional to 35,180, 48,547.92 and 19,264.46

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Solution

The fourth proportional to 35,180, 48,547.92 and 19,264.46 is: 26,584.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,180 : 48,547.92 = 19,264.46 : x
  2. Step 2: Convert to fraction form
    35,180/48,547.92 = 19,264.46/x
  3. Step 3: Cross multiply
    35,180x = 48,547.92 × 19,264.46
  4. Step 4: Simplify right side
    35,180x = 935,249,462.92
  5. Step 5: Solve for x
    x = 935,249,462.92/35,180
  6. Step 6: Final answer
    x = 26,584.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.