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Finding the Fourth Proportional to 54,937, 75,804.42 and 31,056.04

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Solution

The fourth proportional to 54,937, 75,804.42 and 31,056.04 is: 42,852.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,937 : 75,804.42 = 31,056.04 : x
  2. Step 2: Convert to fraction form
    54,937/75,804.42 = 31,056.04/x
  3. Step 3: Cross multiply
    54,937x = 75,804.42 × 31,056.04
  4. Step 4: Simplify right side
    54,937x = 2,354,185,099.70
  5. Step 5: Solve for x
    x = 2,354,185,099.70/54,937
  6. Step 6: Final answer
    x = 42,852.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.