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Finding the Fourth Proportional to 52,598.51, 78,898.46 and 17,538.18

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Solution

The fourth proportional to 52,598.51, 78,898.46 and 17,538.18 is: 26,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,598.51 : 78,898.46 = 17,538.18 : x
  2. Step 2: Convert to fraction form
    52,598.51/78,898.46 = 17,538.18/x
  3. Step 3: Cross multiply
    52,598.51x = 78,898.46 × 17,538.18
  4. Step 4: Simplify right side
    52,598.51x = 1,383,735,393.20
  5. Step 5: Solve for x
    x = 1,383,735,393.20/52,598.51
  6. Step 6: Final answer
    x = 26,307.50

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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.