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Finding the Fourth Proportional to 104,684.85, 157,042.86 and 48,530.64

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Solution

The fourth proportional to 104,684.85, 157,042.86 and 48,530.64 is: 72,803.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,684.85 : 157,042.86 = 48,530.64 : x
  2. Step 2: Convert to fraction form
    104,684.85/157,042.86 = 48,530.64/x
  3. Step 3: Cross multiply
    104,684.85x = 157,042.86 × 48,530.64
  4. Step 4: Simplify right side
    104,684.85x = 7,621,390,503.23
  5. Step 5: Solve for x
    x = 7,621,390,503.23/104,684.85
  6. Step 6: Final answer
    x = 72,803.19

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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.