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Finding the Fourth Proportional to 72,526.32, 108,794.75 and 30,364

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Solution

The fourth proportional to 72,526.32, 108,794.75 and 30,364 is: 45,548.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,526.32 : 108,794.75 = 30,364 : x
  2. Step 2: Convert to fraction form
    72,526.32/108,794.75 = 30,364/x
  3. Step 3: Cross multiply
    72,526.32x = 108,794.75 × 30,364
  4. Step 4: Simplify right side
    72,526.32x = 3,303,443,789
  5. Step 5: Solve for x
    x = 3,303,443,789/72,526.32
  6. Step 6: Final answer
    x = 45,548.21

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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.