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Finding the Fourth Proportional to 39,348, 59,033.56 and 11,646.72

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Solution

The fourth proportional to 39,348, 59,033.56 and 11,646.72 is: 17,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,348 : 59,033.56 = 11,646.72 : x
  2. Step 2: Convert to fraction form
    39,348/59,033.56 = 11,646.72/x
  3. Step 3: Cross multiply
    39,348x = 59,033.56 × 11,646.72
  4. Step 4: Simplify right side
    39,348x = 687,547,343.92
  5. Step 5: Solve for x
    x = 687,547,343.92/39,348
  6. Step 6: Final answer
    x = 17,473.50

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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.