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Finding the Fourth Proportional to 70,176, 96,842.88 and 40,368

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Solution

The fourth proportional to 70,176, 96,842.88 and 40,368 is: 55,707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,176 : 96,842.88 = 40,368 : x
  2. Step 2: Convert to fraction form
    70,176/96,842.88 = 40,368/x
  3. Step 3: Cross multiply
    70,176x = 96,842.88 × 40,368
  4. Step 4: Simplify right side
    70,176x = 3,909,353,379.84
  5. Step 5: Solve for x
    x = 3,909,353,379.84/70,176
  6. Step 6: Final answer
    x = 55,707.84

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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.