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Finding the Fourth Proportional to 76,303, 105,298.86 and 42,769.72

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Solution

The fourth proportional to 76,303, 105,298.86 and 42,769.72 is: 59,022.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,303 : 105,298.86 = 42,769.72 : x
  2. Step 2: Convert to fraction form
    76,303/105,298.86 = 42,769.72/x
  3. Step 3: Cross multiply
    76,303x = 105,298.86 × 42,769.72
  4. Step 4: Simplify right side
    76,303x = 4,503,602,758.52
  5. Step 5: Solve for x
    x = 4,503,602,758.52/76,303
  6. Step 6: Final answer
    x = 59,022.62

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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.