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Finding the Fourth Proportional to 35,702.48, 53,556.34 and 9,407

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Solution

The fourth proportional to 35,702.48, 53,556.34 and 9,407 is: 14,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,702.48 : 53,556.34 = 9,407 : x
  2. Step 2: Convert to fraction form
    35,702.48/53,556.34 = 9,407/x
  3. Step 3: Cross multiply
    35,702.48x = 53,556.34 × 9,407
  4. Step 4: Simplify right side
    35,702.48x = 503,804,490.38
  5. Step 5: Solve for x
    x = 503,804,490.38/35,702.48
  6. Step 6: Final answer
    x = 14,111.19

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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.