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Finding the Fourth Proportional to 57,047.64, 85,585.08 and 17,070

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Solution

The fourth proportional to 57,047.64, 85,585.08 and 17,070 is: 25,609.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,047.64 : 85,585.08 = 17,070 : x
  2. Step 2: Convert to fraction form
    57,047.64/85,585.08 = 17,070/x
  3. Step 3: Cross multiply
    57,047.64x = 85,585.08 × 17,070
  4. Step 4: Simplify right side
    57,047.64x = 1,460,937,315.60
  5. Step 5: Solve for x
    x = 1,460,937,315.60/57,047.64
  6. Step 6: Final answer
    x = 25,609.08

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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.