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Finding the Fourth Proportional to 35,802.63, 53,699.74 and 9,509.40

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Solution

The fourth proportional to 35,802.63, 53,699.74 and 9,509.40 is: 14,262.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,802.63 : 53,699.74 = 9,509.40 : x
  2. Step 2: Convert to fraction form
    35,802.63/53,699.74 = 9,509.40/x
  3. Step 3: Cross multiply
    35,802.63x = 53,699.74 × 9,509.40
  4. Step 4: Simplify right side
    35,802.63x = 510,652,283.78
  5. Step 5: Solve for x
    x = 510,652,283.78/35,802.63
  6. Step 6: Final answer
    x = 14,262.98

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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.