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Finding the Fourth Proportional to 57,407.40, 86,038.20 and 31,090.50

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Solution

The fourth proportional to 57,407.40, 86,038.20 and 31,090.50 is: 46,596.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,407.40 : 86,038.20 = 31,090.50 : x
  2. Step 2: Convert to fraction form
    57,407.40/86,038.20 = 31,090.50/x
  3. Step 3: Cross multiply
    57,407.40x = 86,038.20 × 31,090.50
  4. Step 4: Simplify right side
    57,407.40x = 2,674,970,657.10
  5. Step 5: Solve for x
    x = 2,674,970,657.10/57,407.40
  6. Step 6: Final answer
    x = 46,596.27

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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.