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Finding the Fourth Proportional to 94,271.60, 130,096.44 and 51,830

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Solution

The fourth proportional to 94,271.60, 130,096.44 and 51,830 is: 71,526.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,271.60 : 130,096.44 = 51,830 : x
  2. Step 2: Convert to fraction form
    94,271.60/130,096.44 = 51,830/x
  3. Step 3: Cross multiply
    94,271.60x = 130,096.44 × 51,830
  4. Step 4: Simplify right side
    94,271.60x = 6,742,898,485.20
  5. Step 5: Solve for x
    x = 6,742,898,485.20/94,271.60
  6. Step 6: Final answer
    x = 71,526.30

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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.