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Finding the Fourth Proportional to 76,164, 105,106.32 and 42,630.24

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Solution

The fourth proportional to 76,164, 105,106.32 and 42,630.24 is: 58,829.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,164 : 105,106.32 = 42,630.24 : x
  2. Step 2: Convert to fraction form
    76,164/105,106.32 = 42,630.24/x
  3. Step 3: Cross multiply
    76,164x = 105,106.32 × 42,630.24
  4. Step 4: Simplify right side
    76,164x = 4,480,707,647.12
  5. Step 5: Solve for x
    x = 4,480,707,647.12/76,164
  6. Step 6: Final answer
    x = 58,829.73

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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.