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Finding the Fourth Proportional to 51,813.60, 77,720.40 and 48,897.60

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Solution

The fourth proportional to 51,813.60, 77,720.40 and 48,897.60 is: 73,346.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,813.60 : 77,720.40 = 48,897.60 : x
  2. Step 2: Convert to fraction form
    51,813.60/77,720.40 = 48,897.60/x
  3. Step 3: Cross multiply
    51,813.60x = 77,720.40 × 48,897.60
  4. Step 4: Simplify right side
    51,813.60x = 3,800,341,031.04
  5. Step 5: Solve for x
    x = 3,800,341,031.04/51,813.60
  6. Step 6: Final answer
    x = 73,346.40

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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.