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Finding the Fourth Proportional to 61,545, 91,834.44 and 57,783.36

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Solution

The fourth proportional to 61,545, 91,834.44 and 57,783.36 is: 86,221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,545 : 91,834.44 = 57,783.36 : x
  2. Step 2: Convert to fraction form
    61,545/91,834.44 = 57,783.36/x
  3. Step 3: Cross multiply
    61,545x = 91,834.44 × 57,783.36
  4. Step 4: Simplify right side
    61,545x = 5,306,502,506.92
  5. Step 5: Solve for x
    x = 5,306,502,506.92/61,545
  6. Step 6: Final answer
    x = 86,221.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.