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Finding the Fourth Proportional to 35,802.57, 53,699.76 and 9,509.37

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Solution

The fourth proportional to 35,802.57, 53,699.76 and 9,509.37 is: 14,262.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,802.57 : 53,699.76 = 9,509.37 : x
  2. Step 2: Convert to fraction form
    35,802.57/53,699.76 = 9,509.37/x
  3. Step 3: Cross multiply
    35,802.57x = 53,699.76 × 9,509.37
  4. Step 4: Simplify right side
    35,802.57x = 510,650,685.38
  5. Step 5: Solve for x
    x = 510,650,685.38/35,802.57
  6. Step 6: Final answer
    x = 14,262.96

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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.