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Finding the Fourth Proportional to 66,005.12, 91,074.16 and 37,700.48

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Solution

The fourth proportional to 66,005.12, 91,074.16 and 37,700.48 is: 52,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,005.12 : 91,074.16 = 37,700.48 : x
  2. Step 2: Convert to fraction form
    66,005.12/91,074.16 = 37,700.48/x
  3. Step 3: Cross multiply
    66,005.12x = 91,074.16 × 37,700.48
  4. Step 4: Simplify right side
    66,005.12x = 3,433,539,547.60
  5. Step 5: Solve for x
    x = 3,433,539,547.60/66,005.12
  6. Step 6: Final answer
    x = 52,019.29

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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.