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Finding the Fourth Proportional to 58,842.50, 88,263.75 and 17,289.50

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Solution

The fourth proportional to 58,842.50, 88,263.75 and 17,289.50 is: 25,934.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,842.50 : 88,263.75 = 17,289.50 : x
  2. Step 2: Convert to fraction form
    58,842.50/88,263.75 = 17,289.50/x
  3. Step 3: Cross multiply
    58,842.50x = 88,263.75 × 17,289.50
  4. Step 4: Simplify right side
    58,842.50x = 1,526,036,105.63
  5. Step 5: Solve for x
    x = 1,526,036,105.63/58,842.50
  6. Step 6: Final answer
    x = 25,934.25

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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.