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Finding the Fourth Proportional to 60,776.64, 83,864.16 and 38,416.32

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Solution

The fourth proportional to 60,776.64, 83,864.16 and 38,416.32 is: 53,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,776.64 : 83,864.16 = 38,416.32 : x
  2. Step 2: Convert to fraction form
    60,776.64/83,864.16 = 38,416.32/x
  3. Step 3: Cross multiply
    60,776.64x = 83,864.16 × 38,416.32
  4. Step 4: Simplify right side
    60,776.64x = 3,221,752,407.09
  5. Step 5: Solve for x
    x = 3,221,752,407.09/60,776.64
  6. Step 6: Final answer
    x = 53,009.72

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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.