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Finding the Fourth Proportional to 72,933.65, 109,400.49 and 23,017.64

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Solution

The fourth proportional to 72,933.65, 109,400.49 and 23,017.64 is: 34,526.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,933.65 : 109,400.49 = 23,017.64 : x
  2. Step 2: Convert to fraction form
    72,933.65/109,400.49 = 23,017.64/x
  3. Step 3: Cross multiply
    72,933.65x = 109,400.49 × 23,017.64
  4. Step 4: Simplify right side
    72,933.65x = 2,518,140,547.64
  5. Step 5: Solve for x
    x = 2,518,140,547.64/72,933.65
  6. Step 6: Final answer
    x = 34,526.46

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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.