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Finding the Fourth Proportional to 76,164.16, 105,106.48 and 42,630.16

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Solution

The fourth proportional to 76,164.16, 105,106.48 and 42,630.16 is: 58,829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,164.16 : 105,106.48 = 42,630.16 : x
  2. Step 2: Convert to fraction form
    76,164.16/105,106.48 = 42,630.16/x
  3. Step 3: Cross multiply
    76,164.16x = 105,106.48 × 42,630.16
  4. Step 4: Simplify right side
    76,164.16x = 4,480,706,059.44
  5. Step 5: Solve for x
    x = 4,480,706,059.44/76,164.16
  6. Step 6: Final answer
    x = 58,829.59

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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.