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Finding the Fourth Proportional to 56,871.48, 78,462.36 and 32,985.12

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Solution

The fourth proportional to 56,871.48, 78,462.36 and 32,985.12 is: 45,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,871.48 : 78,462.36 = 32,985.12 : x
  2. Step 2: Convert to fraction form
    56,871.48/78,462.36 = 32,985.12/x
  3. Step 3: Cross multiply
    56,871.48x = 78,462.36 × 32,985.12
  4. Step 4: Simplify right side
    56,871.48x = 2,588,090,360.08
  5. Step 5: Solve for x
    x = 2,588,090,360.08/56,871.48
  6. Step 6: Final answer
    x = 45,507.70

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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.