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Finding the Fourth Proportional to 105,323.70, 157,985.58 and 35,203.02

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Solution

The fourth proportional to 105,323.70, 157,985.58 and 35,203.02 is: 52,804.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,323.70 : 157,985.58 = 35,203.02 : x
  2. Step 2: Convert to fraction form
    105,323.70/157,985.58 = 35,203.02/x
  3. Step 3: Cross multiply
    105,323.70x = 157,985.58 × 35,203.02
  4. Step 4: Simplify right side
    105,323.70x = 5,561,569,532.45
  5. Step 5: Solve for x
    x = 5,561,569,532.45/105,323.70
  6. Step 6: Final answer
    x = 52,804.54

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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.