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Finding the Fourth Proportional to 54,684, 75,442.32 and 34,533.36

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Solution

The fourth proportional to 54,684, 75,442.32 and 34,533.36 is: 47,642.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,684 : 75,442.32 = 34,533.36 : x
  2. Step 2: Convert to fraction form
    54,684/75,442.32 = 34,533.36/x
  3. Step 3: Cross multiply
    54,684x = 75,442.32 × 34,533.36
  4. Step 4: Simplify right side
    54,684x = 2,605,276,795.80
  5. Step 5: Solve for x
    x = 2,605,276,795.80/54,684
  6. Step 6: Final answer
    x = 47,642.40

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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.