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Finding the Fourth Proportional to 83,293.48, 114,931.38 and 47,484.16

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Solution

The fourth proportional to 83,293.48, 114,931.38 and 47,484.16 is: 65,520.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,293.48 : 114,931.38 = 47,484.16 : x
  2. Step 2: Convert to fraction form
    83,293.48/114,931.38 = 47,484.16/x
  3. Step 3: Cross multiply
    83,293.48x = 114,931.38 × 47,484.16
  4. Step 4: Simplify right side
    83,293.48x = 5,457,420,036.94
  5. Step 5: Solve for x
    x = 5,457,420,036.94/83,293.48
  6. Step 6: Final answer
    x = 65,520.37

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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.