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Finding the Fourth Proportional to 125,541.84, 188,312.70 and 32,047.56

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Solution

The fourth proportional to 125,541.84, 188,312.70 and 32,047.56 is: 48,071.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,541.84 : 188,312.70 = 32,047.56 : x
  2. Step 2: Convert to fraction form
    125,541.84/188,312.70 = 32,047.56/x
  3. Step 3: Cross multiply
    125,541.84x = 188,312.70 × 32,047.56
  4. Step 4: Simplify right side
    125,541.84x = 6,034,962,552.01
  5. Step 5: Solve for x
    x = 6,034,962,552.01/125,541.84
  6. Step 6: Final answer
    x = 48,071.32

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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.