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Finding the Fourth Proportional to 35,607.61, 53,407.34 and 9,314.89

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Solution

The fourth proportional to 35,607.61, 53,407.34 and 9,314.89 is: 13,971.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,607.61 : 53,407.34 = 9,314.89 : x
  2. Step 2: Convert to fraction form
    35,607.61/53,407.34 = 9,314.89/x
  3. Step 3: Cross multiply
    35,607.61x = 53,407.34 × 9,314.89
  4. Step 4: Simplify right side
    35,607.61x = 497,483,450.72
  5. Step 5: Solve for x
    x = 497,483,450.72/35,607.61
  6. Step 6: Final answer
    x = 13,971.27

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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.