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Finding the Fourth Proportional to 73,957.95, 102,066.08 and 42,136.83

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Solution

The fourth proportional to 73,957.95, 102,066.08 and 42,136.83 is: 58,151.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,957.95 : 102,066.08 = 42,136.83 : x
  2. Step 2: Convert to fraction form
    73,957.95/102,066.08 = 42,136.83/x
  3. Step 3: Cross multiply
    73,957.95x = 102,066.08 × 42,136.83
  4. Step 4: Simplify right side
    73,957.95x = 4,300,740,851.04
  5. Step 5: Solve for x
    x = 4,300,740,851.04/73,957.95
  6. Step 6: Final answer
    x = 58,151.16

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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.