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Finding the Fourth Proportional to 76,672.48, 105,802.32 and 43,132

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Solution

The fourth proportional to 76,672.48, 105,802.32 and 43,132 is: 59,518.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,672.48 : 105,802.32 = 43,132 : x
  2. Step 2: Convert to fraction form
    76,672.48/105,802.32 = 43,132/x
  3. Step 3: Cross multiply
    76,672.48x = 105,802.32 × 43,132
  4. Step 4: Simplify right side
    76,672.48x = 4,563,465,666.24
  5. Step 5: Solve for x
    x = 4,563,465,666.24/76,672.48
  6. Step 6: Final answer
    x = 59,518.95

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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.