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Finding the Fourth Proportional to 37,501.56, 51,762.42 and 23,346

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Solution

The fourth proportional to 37,501.56, 51,762.42 and 23,346 is: 32,223.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,501.56 : 51,762.42 = 23,346 : x
  2. Step 2: Convert to fraction form
    37,501.56/51,762.42 = 23,346/x
  3. Step 3: Cross multiply
    37,501.56x = 51,762.42 × 23,346
  4. Step 4: Simplify right side
    37,501.56x = 1,208,445,457.32
  5. Step 5: Solve for x
    x = 1,208,445,457.32/37,501.56
  6. Step 6: Final answer
    x = 32,223.87

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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.