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Finding the Fourth Proportional to 71,114.16, 98,133.75 and 40,894.68

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Solution

The fourth proportional to 71,114.16, 98,133.75 and 40,894.68 is: 56,432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,114.16 : 98,133.75 = 40,894.68 : x
  2. Step 2: Convert to fraction form
    71,114.16/98,133.75 = 40,894.68/x
  3. Step 3: Cross multiply
    71,114.16x = 98,133.75 × 40,894.68
  4. Step 4: Simplify right side
    71,114.16x = 4,013,148,303.45
  5. Step 5: Solve for x
    x = 4,013,148,303.45/71,114.16
  6. Step 6: Final answer
    x = 56,432.48

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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.