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Finding the Fourth Proportional to 30,362.13, 45,547.44 and 8,176.23

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Solution

The fourth proportional to 30,362.13, 45,547.44 and 8,176.23 is: 12,265.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,362.13 : 45,547.44 = 8,176.23 : x
  2. Step 2: Convert to fraction form
    30,362.13/45,547.44 = 8,176.23/x
  3. Step 3: Cross multiply
    30,362.13x = 45,547.44 × 8,176.23
  4. Step 4: Simplify right side
    30,362.13x = 372,406,345.35
  5. Step 5: Solve for x
    x = 372,406,345.35/30,362.13
  6. Step 6: Final answer
    x = 12,265.49

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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.