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Finding the Fourth Proportional to 38,384.64, 57,528 and 17,302.08

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Solution

The fourth proportional to 38,384.64, 57,528 and 17,302.08 is: 25,931.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,384.64 : 57,528 = 17,302.08 : x
  2. Step 2: Convert to fraction form
    38,384.64/57,528 = 17,302.08/x
  3. Step 3: Cross multiply
    38,384.64x = 57,528 × 17,302.08
  4. Step 4: Simplify right side
    38,384.64x = 995,354,058.24
  5. Step 5: Solve for x
    x = 995,354,058.24/38,384.64
  6. Step 6: Final answer
    x = 25,931.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.