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Finding the Fourth Proportional to 56,002.76, 77,285.40 and 32,133.68

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Solution

The fourth proportional to 56,002.76, 77,285.40 and 32,133.68 is: 44,345.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,002.76 : 77,285.40 = 32,133.68 : x
  2. Step 2: Convert to fraction form
    56,002.76/77,285.40 = 32,133.68/x
  3. Step 3: Cross multiply
    56,002.76x = 77,285.40 × 32,133.68
  4. Step 4: Simplify right side
    56,002.76x = 2,483,464,312.27
  5. Step 5: Solve for x
    x = 2,483,464,312.27/56,002.76
  6. Step 6: Final answer
    x = 44,345.39

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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.