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Finding the Fourth Proportional to 83,281.32, 114,931.16 and 47,465.55

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Solution

The fourth proportional to 83,281.32, 114,931.16 and 47,465.55 is: 65,504.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,281.32 : 114,931.16 = 47,465.55 : x
  2. Step 2: Convert to fraction form
    83,281.32/114,931.16 = 47,465.55/x
  3. Step 3: Cross multiply
    83,281.32x = 114,931.16 × 47,465.55
  4. Step 4: Simplify right side
    83,281.32x = 5,455,270,484.21
  5. Step 5: Solve for x
    x = 5,455,270,484.21/83,281.32
  6. Step 6: Final answer
    x = 65,504.13

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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.