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Finding the Fourth Proportional to 91,823.40, 137,710.80 and 28,643.40

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Solution

The fourth proportional to 91,823.40, 137,710.80 and 28,643.40 is: 42,957.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,823.40 : 137,710.80 = 28,643.40 : x
  2. Step 2: Convert to fraction form
    91,823.40/137,710.80 = 28,643.40/x
  3. Step 3: Cross multiply
    91,823.40x = 137,710.80 × 28,643.40
  4. Step 4: Simplify right side
    91,823.40x = 3,944,505,528.72
  5. Step 5: Solve for x
    x = 3,944,505,528.72/91,823.40
  6. Step 6: Final answer
    x = 42,957.52

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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.