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Finding the Fourth Proportional to 31,397.40, 47,090.70 and 11,665.80

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Solution

The fourth proportional to 31,397.40, 47,090.70 and 11,665.80 is: 17,496.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,397.40 : 47,090.70 = 11,665.80 : x
  2. Step 2: Convert to fraction form
    31,397.40/47,090.70 = 11,665.80/x
  3. Step 3: Cross multiply
    31,397.40x = 47,090.70 × 11,665.80
  4. Step 4: Simplify right side
    31,397.40x = 549,350,688.06
  5. Step 5: Solve for x
    x = 549,350,688.06/31,397.40
  6. Step 6: Final answer
    x = 17,496.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.