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Finding the Fourth Proportional to 102,056.50, 153,154.40 and 35,495.96

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Solution

The fourth proportional to 102,056.50, 153,154.40 and 35,495.96 is: 53,268.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,056.50 : 153,154.40 = 35,495.96 : x
  2. Step 2: Convert to fraction form
    102,056.50/153,154.40 = 35,495.96/x
  3. Step 3: Cross multiply
    102,056.50x = 153,154.40 × 35,495.96
  4. Step 4: Simplify right side
    102,056.50x = 5,436,362,456.22
  5. Step 5: Solve for x
    x = 5,436,362,456.22/102,056.50
  6. Step 6: Final answer
    x = 53,268.16

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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.