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Finding the Fourth Proportional to 101,817.64, 152,730.56 and 48,482.16

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Solution

The fourth proportional to 101,817.64, 152,730.56 and 48,482.16 is: 72,725.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,817.64 : 152,730.56 = 48,482.16 : x
  2. Step 2: Convert to fraction form
    101,817.64/152,730.56 = 48,482.16/x
  3. Step 3: Cross multiply
    101,817.64x = 152,730.56 × 48,482.16
  4. Step 4: Simplify right side
    101,817.64x = 7,404,707,446.81
  5. Step 5: Solve for x
    x = 7,404,707,446.81/101,817.64
  6. Step 6: Final answer
    x = 72,725.19

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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.