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Finding the Fourth Proportional to 65,507.48, 98,190.56 and 31,702.08

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Solution

The fourth proportional to 65,507.48, 98,190.56 and 31,702.08 is: 47,518.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,507.48 : 98,190.56 = 31,702.08 : x
  2. Step 2: Convert to fraction form
    65,507.48/98,190.56 = 31,702.08/x
  3. Step 3: Cross multiply
    65,507.48x = 98,190.56 × 31,702.08
  4. Step 4: Simplify right side
    65,507.48x = 3,112,844,988.36
  5. Step 5: Solve for x
    x = 3,112,844,988.36/65,507.48
  6. Step 6: Final answer
    x = 47,518.92

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1.5x scale

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.