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Finding the Fourth Proportional to 51,102.36, 70,501.54 and 37,705.77

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Solution

The fourth proportional to 51,102.36, 70,501.54 and 37,705.77 is: 52,019.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,102.36 : 70,501.54 = 37,705.77 : x
  2. Step 2: Convert to fraction form
    51,102.36/70,501.54 = 37,705.77/x
  3. Step 3: Cross multiply
    51,102.36x = 70,501.54 × 37,705.77
  4. Step 4: Simplify right side
    51,102.36x = 2,658,314,851.89
  5. Step 5: Solve for x
    x = 2,658,314,851.89/51,102.36
  6. Step 6: Final answer
    x = 52,019.41

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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.