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Finding the Fourth Proportional to 54,695.52, 75,476.16 and 30,823.20

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Solution

The fourth proportional to 54,695.52, 75,476.16 and 30,823.20 is: 42,533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,695.52 : 75,476.16 = 30,823.20 : x
  2. Step 2: Convert to fraction form
    54,695.52/75,476.16 = 30,823.20/x
  3. Step 3: Cross multiply
    54,695.52x = 75,476.16 × 30,823.20
  4. Step 4: Simplify right side
    54,695.52x = 2,326,416,774.91
  5. Step 5: Solve for x
    x = 2,326,416,774.91/54,695.52
  6. Step 6: Final answer
    x = 42,533.95

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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.