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Finding the Fourth Proportional to 58,824.64, 88,254.56 and 21,384

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Solution

The fourth proportional to 58,824.64, 88,254.56 and 21,384 is: 32,082.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,824.64 : 88,254.56 = 21,384 : x
  2. Step 2: Convert to fraction form
    58,824.64/88,254.56 = 21,384/x
  3. Step 3: Cross multiply
    58,824.64x = 88,254.56 × 21,384
  4. Step 4: Simplify right side
    58,824.64x = 1,887,235,511.04
  5. Step 5: Solve for x
    x = 1,887,235,511.04/58,824.64
  6. Step 6: Final answer
    x = 32,082.40

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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.