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Finding the Fourth Proportional to 55,547.60, 76,655.37 and 51,029

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Solution

The fourth proportional to 55,547.60, 76,655.37 and 51,029 is: 70,419.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,547.60 : 76,655.37 = 51,029 : x
  2. Step 2: Convert to fraction form
    55,547.60/76,655.37 = 51,029/x
  3. Step 3: Cross multiply
    55,547.60x = 76,655.37 × 51,029
  4. Step 4: Simplify right side
    55,547.60x = 3,911,646,875.73
  5. Step 5: Solve for x
    x = 3,911,646,875.73/55,547.60
  6. Step 6: Final answer
    x = 70,419.73

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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.