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Finding the Fourth Proportional to 78,136.92, 107,829.47 and 42,326.94

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Solution

The fourth proportional to 78,136.92, 107,829.47 and 42,326.94 is: 58,411.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,136.92 : 107,829.47 = 42,326.94 : x
  2. Step 2: Convert to fraction form
    78,136.92/107,829.47 = 42,326.94/x
  3. Step 3: Cross multiply
    78,136.92x = 107,829.47 × 42,326.94
  4. Step 4: Simplify right side
    78,136.92x = 4,564,091,506.92
  5. Step 5: Solve for x
    x = 4,564,091,506.92/78,136.92
  6. Step 6: Final answer
    x = 58,411.46

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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.