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Finding the Fourth Proportional to 50,547, 69,754.86 and 28,191

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Solution

The fourth proportional to 50,547, 69,754.86 and 28,191 is: 38,903.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,547 : 69,754.86 = 28,191 : x
  2. Step 2: Convert to fraction form
    50,547/69,754.86 = 28,191/x
  3. Step 3: Cross multiply
    50,547x = 69,754.86 × 28,191
  4. Step 4: Simplify right side
    50,547x = 1,966,459,258.26
  5. Step 5: Solve for x
    x = 1,966,459,258.26/50,547
  6. Step 6: Final answer
    x = 38,903.58

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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.