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Finding the Fourth Proportional to 32,911.54, 45,417.09 and 19,483

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Solution

The fourth proportional to 32,911.54, 45,417.09 and 19,483 is: 26,886.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,911.54 : 45,417.09 = 19,483 : x
  2. Step 2: Convert to fraction form
    32,911.54/45,417.09 = 19,483/x
  3. Step 3: Cross multiply
    32,911.54x = 45,417.09 × 19,483
  4. Step 4: Simplify right side
    32,911.54x = 884,861,164.47
  5. Step 5: Solve for x
    x = 884,861,164.47/32,911.54
  6. Step 6: Final answer
    x = 26,886.05

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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.