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Finding the Fourth Proportional to 103,008.20, 154,482.54 and 46,817

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Solution

The fourth proportional to 103,008.20, 154,482.54 and 46,817 is: 70,211.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,008.20 : 154,482.54 = 46,817 : x
  2. Step 2: Convert to fraction form
    103,008.20/154,482.54 = 46,817/x
  3. Step 3: Cross multiply
    103,008.20x = 154,482.54 × 46,817
  4. Step 4: Simplify right side
    103,008.20x = 7,232,409,075.18
  5. Step 5: Solve for x
    x = 7,232,409,075.18/103,008.20
  6. Step 6: Final answer
    x = 70,211.97

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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.