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Finding the Fourth Proportional to 39,430.75, 59,145.80 and 9,848.39

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Solution

The fourth proportional to 39,430.75, 59,145.80 and 9,848.39 is: 14,772.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,430.75 : 59,145.80 = 9,848.39 : x
  2. Step 2: Convert to fraction form
    39,430.75/59,145.80 = 9,848.39/x
  3. Step 3: Cross multiply
    39,430.75x = 59,145.80 × 9,848.39
  4. Step 4: Simplify right side
    39,430.75x = 582,490,560.29
  5. Step 5: Solve for x
    x = 582,490,560.29/39,430.75
  6. Step 6: Final answer
    x = 14,772.50

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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.