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Finding the Fourth Proportional to 61,778, 85,253.16 and 33,482.96

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Solution

The fourth proportional to 61,778, 85,253.16 and 33,482.96 is: 46,206.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,778 : 85,253.16 = 33,482.96 : x
  2. Step 2: Convert to fraction form
    61,778/85,253.16 = 33,482.96/x
  3. Step 3: Cross multiply
    61,778x = 85,253.16 × 33,482.96
  4. Step 4: Simplify right side
    61,778x = 2,854,528,146.15
  5. Step 5: Solve for x
    x = 2,854,528,146.15/61,778
  6. Step 6: Final answer
    x = 46,206.22

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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.