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Finding the Fourth Proportional to 123,547.14, 185,193.41 and 48,636.90

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Solution

The fourth proportional to 123,547.14, 185,193.41 and 48,636.90 is: 72,905.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,547.14 : 185,193.41 = 48,636.90 : x
  2. Step 2: Convert to fraction form
    123,547.14/185,193.41 = 48,636.90/x
  3. Step 3: Cross multiply
    123,547.14x = 185,193.41 × 48,636.90
  4. Step 4: Simplify right side
    123,547.14x = 9,007,233,119.64
  5. Step 5: Solve for x
    x = 9,007,233,119.64/123,547.14
  6. Step 6: Final answer
    x = 72,905.23

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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.