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Finding the Fourth Proportional to 32,915.64, 45,410.68 and 19,482

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Solution

The fourth proportional to 32,915.64, 45,410.68 and 19,482 is: 26,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,915.64 : 45,410.68 = 19,482 : x
  2. Step 2: Convert to fraction form
    32,915.64/45,410.68 = 19,482/x
  3. Step 3: Cross multiply
    32,915.64x = 45,410.68 × 19,482
  4. Step 4: Simplify right side
    32,915.64x = 884,690,867.76
  5. Step 5: Solve for x
    x = 884,690,867.76/32,915.64
  6. Step 6: Final answer
    x = 26,877.52

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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.