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Finding the Fourth Proportional to 35,804.42, 53,702.50 and 9,511.28

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Solution

The fourth proportional to 35,804.42, 53,702.50 and 9,511.28 is: 14,265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,804.42 : 53,702.50 = 9,511.28 : x
  2. Step 2: Convert to fraction form
    35,804.42/53,702.50 = 9,511.28/x
  3. Step 3: Cross multiply
    35,804.42x = 53,702.50 × 9,511.28
  4. Step 4: Simplify right side
    35,804.42x = 510,779,514.20
  5. Step 5: Solve for x
    x = 510,779,514.20/35,804.42
  6. Step 6: Final answer
    x = 14,265.82

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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.