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Finding the Fourth Proportional to 64,984.63, 97,457.10 and 27,544

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Solution

The fourth proportional to 64,984.63, 97,457.10 and 27,544 is: 41,307.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,984.63 : 97,457.10 = 27,544 : x
  2. Step 2: Convert to fraction form
    64,984.63/97,457.10 = 27,544/x
  3. Step 3: Cross multiply
    64,984.63x = 97,457.10 × 27,544
  4. Step 4: Simplify right side
    64,984.63x = 2,684,358,362.40
  5. Step 5: Solve for x
    x = 2,684,358,362.40/64,984.63
  6. Step 6: Final answer
    x = 41,307.59

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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.