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Finding the Fourth Proportional to 47,140.04, 65,051.88 and 26,724

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Solution

The fourth proportional to 47,140.04, 65,051.88 and 26,724 is: 36,878.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,140.04 : 65,051.88 = 26,724 : x
  2. Step 2: Convert to fraction form
    47,140.04/65,051.88 = 26,724/x
  3. Step 3: Cross multiply
    47,140.04x = 65,051.88 × 26,724
  4. Step 4: Simplify right side
    47,140.04x = 1,738,446,441.12
  5. Step 5: Solve for x
    x = 1,738,446,441.12/47,140.04
  6. Step 6: Final answer
    x = 36,878.34

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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.