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Finding the Fourth Proportional to 50,888.94, 70,225.07 and 30,742.31

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Solution

The fourth proportional to 50,888.94, 70,225.07 and 30,742.31 is: 42,423.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,888.94 : 70,225.07 = 30,742.31 : x
  2. Step 2: Convert to fraction form
    50,888.94/70,225.07 = 30,742.31/x
  3. Step 3: Cross multiply
    50,888.94x = 70,225.07 × 30,742.31
  4. Step 4: Simplify right side
    50,888.94x = 2,158,880,871.71
  5. Step 5: Solve for x
    x = 2,158,880,871.71/50,888.94
  6. Step 6: Final answer
    x = 42,423.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.