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Finding the Fourth Proportional to 61,530.84, 92,317.74 and 19,417.44

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Solution

The fourth proportional to 61,530.84, 92,317.74 and 19,417.44 is: 29,132.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,530.84 : 92,317.74 = 19,417.44 : x
  2. Step 2: Convert to fraction form
    61,530.84/92,317.74 = 19,417.44/x
  3. Step 3: Cross multiply
    61,530.84x = 92,317.74 × 19,417.44
  4. Step 4: Simplify right side
    61,530.84x = 1,792,574,177.39
  5. Step 5: Solve for x
    x = 1,792,574,177.39/61,530.84
  6. Step 6: Final answer
    x = 29,132.94

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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.