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Finding the Fourth Proportional to 97,737.84, 134,880.80 and 55,288.17

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Solution

The fourth proportional to 97,737.84, 134,880.80 and 55,288.17 is: 76,299.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,737.84 : 134,880.80 = 55,288.17 : x
  2. Step 2: Convert to fraction form
    97,737.84/134,880.80 = 55,288.17/x
  3. Step 3: Cross multiply
    97,737.84x = 134,880.80 × 55,288.17
  4. Step 4: Simplify right side
    97,737.84x = 7,457,312,323.70
  5. Step 5: Solve for x
    x = 7,457,312,323.70/97,737.84
  6. Step 6: Final answer
    x = 76,299.13

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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.