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Finding the Fourth Proportional to 97,871.69, 146,810.60 and 46,569.12

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Solution

The fourth proportional to 97,871.69, 146,810.60 and 46,569.12 is: 69,855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,871.69 : 146,810.60 = 46,569.12 : x
  2. Step 2: Convert to fraction form
    97,871.69/146,810.60 = 46,569.12/x
  3. Step 3: Cross multiply
    97,871.69x = 146,810.60 × 46,569.12
  4. Step 4: Simplify right side
    97,871.69x = 6,836,840,215.83
  5. Step 5: Solve for x
    x = 6,836,840,215.83/97,871.69
  6. Step 6: Final answer
    x = 69,855.14

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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.