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Finding the Fourth Proportional to 97,648.40, 146,537.40 and 55,528.40

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Solution

The fourth proportional to 97,648.40, 146,537.40 and 55,528.40 is: 83,329.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,648.40 : 146,537.40 = 55,528.40 : x
  2. Step 2: Convert to fraction form
    97,648.40/146,537.40 = 55,528.40/x
  3. Step 3: Cross multiply
    97,648.40x = 146,537.40 × 55,528.40
  4. Step 4: Simplify right side
    97,648.40x = 8,136,987,362.16
  5. Step 5: Solve for x
    x = 8,136,987,362.16/97,648.40
  6. Step 6: Final answer
    x = 83,329.45

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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.