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Finding the Fourth Proportional to 76,382, 105,407.88 and 42,848.72

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Solution

The fourth proportional to 76,382, 105,407.88 and 42,848.72 is: 59,131.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,382 : 105,407.88 = 42,848.72 : x
  2. Step 2: Convert to fraction form
    76,382/105,407.88 = 42,848.72/x
  3. Step 3: Cross multiply
    76,382x = 105,407.88 × 42,848.72
  4. Step 4: Simplify right side
    76,382x = 4,516,592,735.91
  5. Step 5: Solve for x
    x = 4,516,592,735.91/76,382
  6. Step 6: Final answer
    x = 59,131.64

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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.