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Finding the Fourth Proportional to 102,973.49, 154,430.40 and 30,923.49

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Solution

The fourth proportional to 102,973.49, 154,430.40 and 30,923.49 is: 46,376.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,973.49 : 154,430.40 = 30,923.49 : x
  2. Step 2: Convert to fraction form
    102,973.49/154,430.40 = 30,923.49/x
  3. Step 3: Cross multiply
    102,973.49x = 154,430.40 × 30,923.49
  4. Step 4: Simplify right side
    102,973.49x = 4,775,527,494.71
  5. Step 5: Solve for x
    x = 4,775,527,494.71/102,973.49
  6. Step 6: Final answer
    x = 46,376.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.