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Finding the Fourth Proportional to 47,385.41, 65,419.85 and 31,502.93

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Solution

The fourth proportional to 47,385.41, 65,419.85 and 31,502.93 is: 43,492.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,385.41 : 65,419.85 = 31,502.93 : x
  2. Step 2: Convert to fraction form
    47,385.41/65,419.85 = 31,502.93/x
  3. Step 3: Cross multiply
    47,385.41x = 65,419.85 × 31,502.93
  4. Step 4: Simplify right side
    47,385.41x = 2,060,916,706.82
  5. Step 5: Solve for x
    x = 2,060,916,706.82/47,385.41
  6. Step 6: Final answer
    x = 43,492.65

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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.