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Finding the Fourth Proportional to 53,415.60, 80,017.80 and 46,849.20

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Solution

The fourth proportional to 53,415.60, 80,017.80 and 46,849.20 is: 70,181.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,415.60 : 80,017.80 = 46,849.20 : x
  2. Step 2: Convert to fraction form
    53,415.60/80,017.80 = 46,849.20/x
  3. Step 3: Cross multiply
    53,415.60x = 80,017.80 × 46,849.20
  4. Step 4: Simplify right side
    53,415.60x = 3,748,769,915.76
  5. Step 5: Solve for x
    x = 3,748,769,915.76/53,415.60
  6. Step 6: Final answer
    x = 70,181.18

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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.