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Finding the Fourth Proportional to 97,144, 145,618.72 and 37,898.16

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Solution

The fourth proportional to 97,144, 145,618.72 and 37,898.16 is: 56,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,144 : 145,618.72 = 37,898.16 : x
  2. Step 2: Convert to fraction form
    97,144/145,618.72 = 37,898.16/x
  3. Step 3: Cross multiply
    97,144x = 145,618.72 × 37,898.16
  4. Step 4: Simplify right side
    97,144x = 5,518,681,549.56
  5. Step 5: Solve for x
    x = 5,518,681,549.56/97,144
  6. Step 6: Final answer
    x = 56,809.29

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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.