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Finding the Fourth Proportional to 76,501, 105,581.28 and 42,967

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Solution

The fourth proportional to 76,501, 105,581.28 and 42,967 is: 59,300.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,501 : 105,581.28 = 42,967 : x
  2. Step 2: Convert to fraction form
    76,501/105,581.28 = 42,967/x
  3. Step 3: Cross multiply
    76,501x = 105,581.28 × 42,967
  4. Step 4: Simplify right side
    76,501x = 4,536,510,857.76
  5. Step 5: Solve for x
    x = 4,536,510,857.76/76,501
  6. Step 6: Final answer
    x = 59,300.02

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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.