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Finding the Fourth Proportional to 47,807.40, 65,975.40 and 26,588

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Solution

The fourth proportional to 47,807.40, 65,975.40 and 26,588 is: 36,692.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,807.40 : 65,975.40 = 26,588 : x
  2. Step 2: Convert to fraction form
    47,807.40/65,975.40 = 26,588/x
  3. Step 3: Cross multiply
    47,807.40x = 65,975.40 × 26,588
  4. Step 4: Simplify right side
    47,807.40x = 1,754,153,935.20
  5. Step 5: Solve for x
    x = 1,754,153,935.20/47,807.40
  6. Step 6: Final answer
    x = 36,692.10

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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.