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Finding the Fourth Proportional to 76,372, 105,394.80 and 42,840.16

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Solution

The fourth proportional to 76,372, 105,394.80 and 42,840.16 is: 59,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,372 : 105,394.80 = 42,840.16 : x
  2. Step 2: Convert to fraction form
    76,372/105,394.80 = 42,840.16/x
  3. Step 3: Cross multiply
    76,372x = 105,394.80 × 42,840.16
  4. Step 4: Simplify right side
    76,372x = 4,515,130,095.17
  5. Step 5: Solve for x
    x = 4,515,130,095.17/76,372
  6. Step 6: Final answer
    x = 59,120.23

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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.