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Finding the Fourth Proportional to 103,575.70, 155,363.55 and 41,214.10

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Solution

The fourth proportional to 103,575.70, 155,363.55 and 41,214.10 is: 61,821.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,575.70 : 155,363.55 = 41,214.10 : x
  2. Step 2: Convert to fraction form
    103,575.70/155,363.55 = 41,214.10/x
  3. Step 3: Cross multiply
    103,575.70x = 155,363.55 × 41,214.10
  4. Step 4: Simplify right side
    103,575.70x = 6,403,168,886.06
  5. Step 5: Solve for x
    x = 6,403,168,886.06/103,575.70
  6. Step 6: Final answer
    x = 61,821.15

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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.