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Finding the Fourth Proportional to 51,985.80, 77,978.70 and 51,548.40

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Solution

The fourth proportional to 51,985.80, 77,978.70 and 51,548.40 is: 77,322.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,985.80 : 77,978.70 = 51,548.40 : x
  2. Step 2: Convert to fraction form
    51,985.80/77,978.70 = 51,548.40/x
  3. Step 3: Cross multiply
    51,985.80x = 77,978.70 × 51,548.40
  4. Step 4: Simplify right side
    51,985.80x = 4,019,677,219.08
  5. Step 5: Solve for x
    x = 4,019,677,219.08/51,985.80
  6. Step 6: Final answer
    x = 77,322.60

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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.