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Finding the Fourth Proportional to 103,547.50, 155,321.28 and 33,437.14

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Solution

The fourth proportional to 103,547.50, 155,321.28 and 33,437.14 is: 50,155.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,547.50 : 155,321.28 = 33,437.14 : x
  2. Step 2: Convert to fraction form
    103,547.50/155,321.28 = 33,437.14/x
  3. Step 3: Cross multiply
    103,547.50x = 155,321.28 × 33,437.14
  4. Step 4: Simplify right side
    103,547.50x = 5,193,499,384.34
  5. Step 5: Solve for x
    x = 5,193,499,384.34/103,547.50
  6. Step 6: Final answer
    x = 50,155.72

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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.