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Finding the Fourth Proportional to 76,353.84, 105,368.40 and 42,817.68

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Solution

The fourth proportional to 76,353.84, 105,368.40 and 42,817.68 is: 59,088.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,353.84 : 105,368.40 = 42,817.68 : x
  2. Step 2: Convert to fraction form
    76,353.84/105,368.40 = 42,817.68/x
  3. Step 3: Cross multiply
    76,353.84x = 105,368.40 × 42,817.68
  4. Step 4: Simplify right side
    76,353.84x = 4,511,630,433.31
  5. Step 5: Solve for x
    x = 4,511,630,433.31/76,353.84
  6. Step 6: Final answer
    x = 59,088.45

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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.