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Finding the Fourth Proportional to 98,264.77, 147,397.16 and 24,392.77

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Solution

The fourth proportional to 98,264.77, 147,397.16 and 24,392.77 is: 36,589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,264.77 : 147,397.16 = 24,392.77 : x
  2. Step 2: Convert to fraction form
    98,264.77/147,397.16 = 24,392.77/x
  3. Step 3: Cross multiply
    98,264.77x = 147,397.16 × 24,392.77
  4. Step 4: Simplify right side
    98,264.77x = 3,595,424,900.57
  5. Step 5: Solve for x
    x = 3,595,424,900.57/98,264.77
  6. Step 6: Final answer
    x = 36,589.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.