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Finding the Fourth Proportional to 92,870.64, 128,180.16 and 52,584.48

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Solution

The fourth proportional to 92,870.64, 128,180.16 and 52,584.48 is: 72,577.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,870.64 : 128,180.16 = 52,584.48 : x
  2. Step 2: Convert to fraction form
    92,870.64/128,180.16 = 52,584.48/x
  3. Step 3: Cross multiply
    92,870.64x = 128,180.16 × 52,584.48
  4. Step 4: Simplify right side
    92,870.64x = 6,740,287,059.92
  5. Step 5: Solve for x
    x = 6,740,287,059.92/92,870.64
  6. Step 6: Final answer
    x = 72,577.16

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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.