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Finding the Fourth Proportional to 76,502, 105,582.66 and 42,968

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Solution

The fourth proportional to 76,502, 105,582.66 and 42,968 is: 59,301.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,502 : 105,582.66 = 42,968 : x
  2. Step 2: Convert to fraction form
    76,502/105,582.66 = 42,968/x
  3. Step 3: Cross multiply
    76,502x = 105,582.66 × 42,968
  4. Step 4: Simplify right side
    76,502x = 4,536,675,734.88
  5. Step 5: Solve for x
    x = 4,536,675,734.88/76,502
  6. Step 6: Final answer
    x = 59,301.40

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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.