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Finding the Fourth Proportional to 97,348.80, 145,922.40 and 52,881.60

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Solution

The fourth proportional to 97,348.80, 145,922.40 and 52,881.60 is: 79,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,348.80 : 145,922.40 = 52,881.60 : x
  2. Step 2: Convert to fraction form
    97,348.80/145,922.40 = 52,881.60/x
  3. Step 3: Cross multiply
    97,348.80x = 145,922.40 × 52,881.60
  4. Step 4: Simplify right side
    97,348.80x = 7,716,609,987.84
  5. Step 5: Solve for x
    x = 7,716,609,987.84/97,348.80
  6. Step 6: Final answer
    x = 79,267.64

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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.