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Finding the Fourth Proportional to 65,289.49, 97,918.52 and 41,561.45

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Solution

The fourth proportional to 65,289.49, 97,918.52 and 41,561.45 is: 62,332.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,289.49 : 97,918.52 = 41,561.45 : x
  2. Step 2: Convert to fraction form
    65,289.49/97,918.52 = 41,561.45/x
  3. Step 3: Cross multiply
    65,289.49x = 97,918.52 × 41,561.45
  4. Step 4: Simplify right side
    65,289.49x = 4,069,636,127.42
  5. Step 5: Solve for x
    x = 4,069,636,127.42/65,289.49
  6. Step 6: Final answer
    x = 62,332.18

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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.