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Finding the Fourth Proportional to 37,802.70, 56,710.16 and 11,501.25

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Solution

The fourth proportional to 37,802.70, 56,710.16 and 11,501.25 is: 17,253.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,802.70 : 56,710.16 = 11,501.25 : x
  2. Step 2: Convert to fraction form
    37,802.70/56,710.16 = 11,501.25/x
  3. Step 3: Cross multiply
    37,802.70x = 56,710.16 × 11,501.25
  4. Step 4: Simplify right side
    37,802.70x = 652,237,670.19
  5. Step 5: Solve for x
    x = 652,237,670.19/37,802.70
  6. Step 6: Final answer
    x = 17,253.73

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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.