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Finding the Fourth Proportional to 56,041.53, 77,342.76 and 41,869.77

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Solution

The fourth proportional to 56,041.53, 77,342.76 and 41,869.77 is: 57,784.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,041.53 : 77,342.76 = 41,869.77 : x
  2. Step 2: Convert to fraction form
    56,041.53/77,342.76 = 41,869.77/x
  3. Step 3: Cross multiply
    56,041.53x = 77,342.76 × 41,869.77
  4. Step 4: Simplify right side
    56,041.53x = 3,238,323,572.37
  5. Step 5: Solve for x
    x = 3,238,323,572.37/56,041.53
  6. Step 6: Final answer
    x = 57,784.35

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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.