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Finding the Fourth Proportional to 47,454.68, 65,492.34 and 27,312.32

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Solution

The fourth proportional to 47,454.68, 65,492.34 and 27,312.32 is: 37,693.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,454.68 : 65,492.34 = 27,312.32 : x
  2. Step 2: Convert to fraction form
    47,454.68/65,492.34 = 27,312.32/x
  3. Step 3: Cross multiply
    47,454.68x = 65,492.34 × 27,312.32
  4. Step 4: Simplify right side
    47,454.68x = 1,788,747,747.63
  5. Step 5: Solve for x
    x = 1,788,747,747.63/47,454.68
  6. Step 6: Final answer
    x = 37,693.81

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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.