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Finding the Fourth Proportional to 83,130.64, 114,718.64 and 46,832.16

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Solution

The fourth proportional to 83,130.64, 114,718.64 and 46,832.16 is: 64,627.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,130.64 : 114,718.64 = 46,832.16 : x
  2. Step 2: Convert to fraction form
    83,130.64/114,718.64 = 46,832.16/x
  3. Step 3: Cross multiply
    83,130.64x = 114,718.64 × 46,832.16
  4. Step 4: Simplify right side
    83,130.64x = 5,372,521,703.46
  5. Step 5: Solve for x
    x = 5,372,521,703.46/83,130.64
  6. Step 6: Final answer
    x = 64,627.46

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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.