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Finding the Fourth Proportional to 55,784.90, 83,677.35 and 48,008.90

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Solution

The fourth proportional to 55,784.90, 83,677.35 and 48,008.90 is: 72,013.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,784.90 : 83,677.35 = 48,008.90 : x
  2. Step 2: Convert to fraction form
    55,784.90/83,677.35 = 48,008.90/x
  3. Step 3: Cross multiply
    55,784.90x = 83,677.35 × 48,008.90
  4. Step 4: Simplify right side
    55,784.90x = 4,017,257,528.42
  5. Step 5: Solve for x
    x = 4,017,257,528.42/55,784.90
  6. Step 6: Final answer
    x = 72,013.35

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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.