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Finding the Fourth Proportional to 45,547.13, 62,855.12 and 25,405.31

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Solution

The fourth proportional to 45,547.13, 62,855.12 and 25,405.31 is: 35,059.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,547.13 : 62,855.12 = 25,405.31 : x
  2. Step 2: Convert to fraction form
    45,547.13/62,855.12 = 25,405.31/x
  3. Step 3: Cross multiply
    45,547.13x = 62,855.12 × 25,405.31
  4. Step 4: Simplify right side
    45,547.13x = 1,596,854,029.34
  5. Step 5: Solve for x
    x = 1,596,854,029.34/45,547.13
  6. Step 6: Final answer
    x = 35,059.38

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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.