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Finding the Fourth Proportional to 97,307.88, 134,284.82 and 52,595.88

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Solution

The fourth proportional to 97,307.88, 134,284.82 and 52,595.88 is: 72,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,307.88 : 134,284.82 = 52,595.88 : x
  2. Step 2: Convert to fraction form
    97,307.88/134,284.82 = 52,595.88/x
  3. Step 3: Cross multiply
    97,307.88x = 134,284.82 × 52,595.88
  4. Step 4: Simplify right side
    97,307.88x = 7,062,828,015.56
  5. Step 5: Solve for x
    x = 7,062,828,015.56/97,307.88
  6. Step 6: Final answer
    x = 72,582.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.