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Finding the Fourth Proportional to 35,697.38, 53,547.02 and 12,005.82

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Solution

The fourth proportional to 35,697.38, 53,547.02 and 12,005.82 is: 18,009.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,697.38 : 53,547.02 = 12,005.82 : x
  2. Step 2: Convert to fraction form
    35,697.38/53,547.02 = 12,005.82/x
  3. Step 3: Cross multiply
    35,697.38x = 53,547.02 × 12,005.82
  4. Step 4: Simplify right side
    35,697.38x = 642,875,883.66
  5. Step 5: Solve for x
    x = 642,875,883.66/35,697.38
  6. Step 6: Final answer
    x = 18,009.05

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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.