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Finding the Fourth Proportional to 98,936, 148,412.64 and 25,064

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Solution

The fourth proportional to 98,936, 148,412.64 and 25,064 is: 37,598.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,936 : 148,412.64 = 25,064 : x
  2. Step 2: Convert to fraction form
    98,936/148,412.64 = 25,064/x
  3. Step 3: Cross multiply
    98,936x = 148,412.64 × 25,064
  4. Step 4: Simplify right side
    98,936x = 3,719,814,408.96
  5. Step 5: Solve for x
    x = 3,719,814,408.96/98,936
  6. Step 6: Final answer
    x = 37,598.19

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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.