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Finding the Fourth Proportional to 58,970.80, 81,381.16 and 32,114.80

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Solution

The fourth proportional to 58,970.80, 81,381.16 and 32,114.80 is: 44,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,970.80 : 81,381.16 = 32,114.80 : x
  2. Step 2: Convert to fraction form
    58,970.80/81,381.16 = 32,114.80/x
  3. Step 3: Cross multiply
    58,970.80x = 81,381.16 × 32,114.80
  4. Step 4: Simplify right side
    58,970.80x = 2,613,539,677.17
  5. Step 5: Solve for x
    x = 2,613,539,677.17/58,970.80
  6. Step 6: Final answer
    x = 44,319.22

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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.