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Finding the Fourth Proportional to 70,166, 96,829.08 and 40,358

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Solution

The fourth proportional to 70,166, 96,829.08 and 40,358 is: 55,694.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,166 : 96,829.08 = 40,358 : x
  2. Step 2: Convert to fraction form
    70,166/96,829.08 = 40,358/x
  3. Step 3: Cross multiply
    70,166x = 96,829.08 × 40,358
  4. Step 4: Simplify right side
    70,166x = 3,907,828,010.64
  5. Step 5: Solve for x
    x = 3,907,828,010.64/70,166
  6. Step 6: Final answer
    x = 55,694.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.