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Finding the Fourth Proportional to 61,830.46, 92,734.93 and 28,547.70

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Solution

The fourth proportional to 61,830.46, 92,734.93 and 28,547.70 is: 42,816.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,830.46 : 92,734.93 = 28,547.70 : x
  2. Step 2: Convert to fraction form
    61,830.46/92,734.93 = 28,547.70/x
  3. Step 3: Cross multiply
    61,830.46x = 92,734.93 × 28,547.70
  4. Step 4: Simplify right side
    61,830.46x = 2,647,368,961.16
  5. Step 5: Solve for x
    x = 2,647,368,961.16/61,830.46
  6. Step 6: Final answer
    x = 42,816.58

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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.