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Finding the Fourth Proportional to 101,594.40, 152,347.20 and 31,457.28

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Solution

The fourth proportional to 101,594.40, 152,347.20 and 31,457.28 is: 47,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,594.40 : 152,347.20 = 31,457.28 : x
  2. Step 2: Convert to fraction form
    101,594.40/152,347.20 = 31,457.28/x
  3. Step 3: Cross multiply
    101,594.40x = 152,347.20 × 31,457.28
  4. Step 4: Simplify right side
    101,594.40x = 4,792,428,527.62
  5. Step 5: Solve for x
    x = 4,792,428,527.62/101,594.40
  6. Step 6: Final answer
    x = 47,172.17

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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.