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Finding the Fourth Proportional to 83,190.51, 114,802.65 and 45,464.76

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Solution

The fourth proportional to 83,190.51, 114,802.65 and 45,464.76 is: 62,741.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,190.51 : 114,802.65 = 45,464.76 : x
  2. Step 2: Convert to fraction form
    83,190.51/114,802.65 = 45,464.76/x
  3. Step 3: Cross multiply
    83,190.51x = 114,802.65 × 45,464.76
  4. Step 4: Simplify right side
    83,190.51x = 5,219,474,929.61
  5. Step 5: Solve for x
    x = 5,219,474,929.61/83,190.51
  6. Step 6: Final answer
    x = 62,741.23

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1.5x scale

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.