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Finding the Fourth Proportional to 76,450.42, 105,498 and 42,461.10

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Solution

The fourth proportional to 76,450.42, 105,498 and 42,461.10 is: 58,594.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,450.42 : 105,498 = 42,461.10 : x
  2. Step 2: Convert to fraction form
    76,450.42/105,498 = 42,461.10/x
  3. Step 3: Cross multiply
    76,450.42x = 105,498 × 42,461.10
  4. Step 4: Simplify right side
    76,450.42x = 4,479,561,127.80
  5. Step 5: Solve for x
    x = 4,479,561,127.80/76,450.42
  6. Step 6: Final answer
    x = 58,594.33

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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.