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Finding the Fourth Proportional to 83,232, 114,860.16 and 45,506.52

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Solution

The fourth proportional to 83,232, 114,860.16 and 45,506.52 is: 62,799.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,232 : 114,860.16 = 45,506.52 : x
  2. Step 2: Convert to fraction form
    83,232/114,860.16 = 45,506.52/x
  3. Step 3: Cross multiply
    83,232x = 114,860.16 × 45,506.52
  4. Step 4: Simplify right side
    83,232x = 5,226,886,168.24
  5. Step 5: Solve for x
    x = 5,226,886,168.24/83,232
  6. Step 6: Final answer
    x = 62,799.00

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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.