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Finding the Fourth Proportional to 101,703.81, 152,564.22 and 35,116.95

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Solution

The fourth proportional to 101,703.81, 152,564.22 and 35,116.95 is: 52,678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,703.81 : 152,564.22 = 35,116.95 : x
  2. Step 2: Convert to fraction form
    101,703.81/152,564.22 = 35,116.95/x
  3. Step 3: Cross multiply
    101,703.81x = 152,564.22 × 35,116.95
  4. Step 4: Simplify right side
    101,703.81x = 5,357,590,085.53
  5. Step 5: Solve for x
    x = 5,357,590,085.53/101,703.81
  6. Step 6: Final answer
    x = 52,678.36

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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.