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Finding the Fourth Proportional to 70,842.53, 97,762.52 and 38,576.63

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Solution

The fourth proportional to 70,842.53, 97,762.52 and 38,576.63 is: 53,235.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,842.53 : 97,762.52 = 38,576.63 : x
  2. Step 2: Convert to fraction form
    70,842.53/97,762.52 = 38,576.63/x
  3. Step 3: Cross multiply
    70,842.53x = 97,762.52 × 38,576.63
  4. Step 4: Simplify right side
    70,842.53x = 3,771,347,880.21
  5. Step 5: Solve for x
    x = 3,771,347,880.21/70,842.53
  6. Step 6: Final answer
    x = 53,235.65

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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.