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Finding the Fourth Proportional to 65,497.34, 90,386.28 and 35,689.34

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Solution

The fourth proportional to 65,497.34, 90,386.28 and 35,689.34 is: 49,251.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,497.34 : 90,386.28 = 35,689.34 : x
  2. Step 2: Convert to fraction form
    65,497.34/90,386.28 = 35,689.34/x
  3. Step 3: Cross multiply
    65,497.34x = 90,386.28 × 35,689.34
  4. Step 4: Simplify right side
    65,497.34x = 3,225,826,226.32
  5. Step 5: Solve for x
    x = 3,225,826,226.32/65,497.34
  6. Step 6: Final answer
    x = 49,251.26

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1.5x scale

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.