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Finding the Fourth Proportional to 64,724, 97,085.84 and 37,002.56

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Solution

The fourth proportional to 64,724, 97,085.84 and 37,002.56 is: 55,503.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,724 : 97,085.84 = 37,002.56 : x
  2. Step 2: Convert to fraction form
    64,724/97,085.84 = 37,002.56/x
  3. Step 3: Cross multiply
    64,724x = 97,085.84 × 37,002.56
  4. Step 4: Simplify right side
    64,724x = 3,592,424,619.75
  5. Step 5: Solve for x
    x = 3,592,424,619.75/64,724
  6. Step 6: Final answer
    x = 55,503.75

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Why These Related Problems?

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