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Finding the Fourth Proportional to 65,689.42, 98,530.02 and 26,218.16

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Solution

The fourth proportional to 65,689.42, 98,530.02 and 26,218.16 is: 39,325.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,689.42 : 98,530.02 = 26,218.16 : x
  2. Step 2: Convert to fraction form
    65,689.42/98,530.02 = 26,218.16/x
  3. Step 3: Cross multiply
    65,689.42x = 98,530.02 × 26,218.16
  4. Step 4: Simplify right side
    65,689.42x = 2,583,276,075.49
  5. Step 5: Solve for x
    x = 2,583,276,075.49/65,689.42
  6. Step 6: Final answer
    x = 39,325.60

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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.