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Finding the Fourth Proportional to 105,775.86, 158,705.28 and 46,570

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Solution

The fourth proportional to 105,775.86, 158,705.28 and 46,570 is: 69,873.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,775.86 : 158,705.28 = 46,570 : x
  2. Step 2: Convert to fraction form
    105,775.86/158,705.28 = 46,570/x
  3. Step 3: Cross multiply
    105,775.86x = 158,705.28 × 46,570
  4. Step 4: Simplify right side
    105,775.86x = 7,390,904,889.60
  5. Step 5: Solve for x
    x = 7,390,904,889.60/105,775.86
  6. Step 6: Final answer
    x = 69,873.27

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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.