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Finding the Fourth Proportional to 48,050, 72,075.32 and 15,218

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Solution

The fourth proportional to 48,050, 72,075.32 and 15,218 is: 22,827.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,050 : 72,075.32 = 15,218 : x
  2. Step 2: Convert to fraction form
    48,050/72,075.32 = 15,218/x
  3. Step 3: Cross multiply
    48,050x = 72,075.32 × 15,218
  4. Step 4: Simplify right side
    48,050x = 1,096,842,219.76
  5. Step 5: Solve for x
    x = 1,096,842,219.76/48,050
  6. Step 6: Final answer
    x = 22,827.10

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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.