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Finding the Fourth Proportional to 56,064.96, 77,404.32 and 45,878.40

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Solution

The fourth proportional to 56,064.96, 77,404.32 and 45,878.40 is: 63,340.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,064.96 : 77,404.32 = 45,878.40 : x
  2. Step 2: Convert to fraction form
    56,064.96/77,404.32 = 45,878.40/x
  3. Step 3: Cross multiply
    56,064.96x = 77,404.32 × 45,878.40
  4. Step 4: Simplify right side
    56,064.96x = 3,551,186,354.69
  5. Step 5: Solve for x
    x = 3,551,186,354.69/56,064.96
  6. Step 6: Final answer
    x = 63,340.57

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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.