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Finding the Fourth Proportional to 76,397, 105,416.63 and 42,405.75

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Solution

The fourth proportional to 76,397, 105,416.63 and 42,405.75 is: 58,513.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,397 : 105,416.63 = 42,405.75 : x
  2. Step 2: Convert to fraction form
    76,397/105,416.63 = 42,405.75/x
  3. Step 3: Cross multiply
    76,397x = 105,416.63 × 42,405.75
  4. Step 4: Simplify right side
    76,397x = 4,470,270,518.51
  5. Step 5: Solve for x
    x = 4,470,270,518.51/76,397
  6. Step 6: Final answer
    x = 58,513.69

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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.