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Finding the Fourth Proportional to 55,714.80, 83,646.36 and 32,358

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Solution

The fourth proportional to 55,714.80, 83,646.36 and 32,358 is: 48,580.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,714.80 : 83,646.36 = 32,358 : x
  2. Step 2: Convert to fraction form
    55,714.80/83,646.36 = 32,358/x
  3. Step 3: Cross multiply
    55,714.80x = 83,646.36 × 32,358
  4. Step 4: Simplify right side
    55,714.80x = 2,706,628,916.88
  5. Step 5: Solve for x
    x = 2,706,628,916.88/55,714.80
  6. Step 6: Final answer
    x = 48,580.07

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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.