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Finding the Fourth Proportional to 85,698.14, 128,547.41 and 29,539.62

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Solution

The fourth proportional to 85,698.14, 128,547.41 and 29,539.62 is: 44,309.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,698.14 : 128,547.41 = 29,539.62 : x
  2. Step 2: Convert to fraction form
    85,698.14/128,547.41 = 29,539.62/x
  3. Step 3: Cross multiply
    85,698.14x = 128,547.41 × 29,539.62
  4. Step 4: Simplify right side
    85,698.14x = 3,797,241,495.69
  5. Step 5: Solve for x
    x = 3,797,241,495.69/85,698.14
  6. Step 6: Final answer
    x = 44,309.50

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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.