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Finding the Fourth Proportional to 65,497.08, 90,386.10 and 35,689.08

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Solution

The fourth proportional to 65,497.08, 90,386.10 and 35,689.08 is: 49,251.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,497.08 : 90,386.10 = 35,689.08 : x
  2. Step 2: Convert to fraction form
    65,497.08/90,386.10 = 35,689.08/x
  3. Step 3: Cross multiply
    65,497.08x = 90,386.10 × 35,689.08
  4. Step 4: Simplify right side
    65,497.08x = 3,225,796,753.79
  5. Step 5: Solve for x
    x = 3,225,796,753.79/65,497.08
  6. Step 6: Final answer
    x = 49,251.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.