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Finding the Fourth Proportional to 47,368.30, 66,438.50 and 47,368.30

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Solution

The fourth proportional to 47,368.30, 66,438.50 and 47,368.30 is: 66,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,368.30 : 66,438.50 = 47,368.30 : x
  2. Step 2: Convert to fraction form
    47,368.30/66,438.50 = 47,368.30/x
  3. Step 3: Cross multiply
    47,368.30x = 66,438.50 × 47,368.30
  4. Step 4: Simplify right side
    47,368.30x = 3,147,078,799.55
  5. Step 5: Solve for x
    x = 3,147,078,799.55/47,368.30
  6. Step 6: Final answer
    x = 66,438.50

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.