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Finding the Fourth Proportional to 101,813.63, 152,724.56 and 48,478.16

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Solution

The fourth proportional to 101,813.63, 152,724.56 and 48,478.16 is: 72,719.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,813.63 : 152,724.56 = 48,478.16 : x
  2. Step 2: Convert to fraction form
    101,813.63/152,724.56 = 48,478.16/x
  3. Step 3: Cross multiply
    101,813.63x = 152,724.56 × 48,478.16
  4. Step 4: Simplify right side
    101,813.63x = 7,403,805,795.03
  5. Step 5: Solve for x
    x = 7,403,805,795.03/101,813.63
  6. Step 6: Final answer
    x = 72,719.20

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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.