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Finding the Fourth Proportional to 65,802.52, 98,710.05 and 18,417.64

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Solution

The fourth proportional to 65,802.52, 98,710.05 and 18,417.64 is: 27,628.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,802.52 : 98,710.05 = 18,417.64 : x
  2. Step 2: Convert to fraction form
    65,802.52/98,710.05 = 18,417.64/x
  3. Step 3: Cross multiply
    65,802.52x = 98,710.05 × 18,417.64
  4. Step 4: Simplify right side
    65,802.52x = 1,818,006,165.28
  5. Step 5: Solve for x
    x = 1,818,006,165.28/65,802.52
  6. Step 6: Final answer
    x = 27,628.21

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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.