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Finding the Fourth Proportional to 142,737.84, 214,106.76 and 37,548

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Solution

The fourth proportional to 142,737.84, 214,106.76 and 37,548 is: 56,322.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,737.84 : 214,106.76 = 37,548 : x
  2. Step 2: Convert to fraction form
    142,737.84/214,106.76 = 37,548/x
  3. Step 3: Cross multiply
    142,737.84x = 214,106.76 × 37,548
  4. Step 4: Simplify right side
    142,737.84x = 8,039,280,624.48
  5. Step 5: Solve for x
    x = 8,039,280,624.48/142,737.84
  6. Step 6: Final answer
    x = 56,322.00

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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.