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Finding the Fourth Proportional to 102,347.25, 153,458.34 and 49,055.53

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Solution

The fourth proportional to 102,347.25, 153,458.34 and 49,055.53 is: 73,553.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,347.25 : 153,458.34 = 49,055.53 : x
  2. Step 2: Convert to fraction form
    102,347.25/153,458.34 = 49,055.53/x
  3. Step 3: Cross multiply
    102,347.25x = 153,458.34 × 49,055.53
  4. Step 4: Simplify right side
    102,347.25x = 7,527,980,426.31
  5. Step 5: Solve for x
    x = 7,527,980,426.31/102,347.25
  6. Step 6: Final answer
    x = 73,553.32

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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.