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Finding the Fourth Proportional to 74,458, 102,752.08 and 40,926.16

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Solution

The fourth proportional to 74,458, 102,752.08 and 40,926.16 is: 56,478.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,458 : 102,752.08 = 40,926.16 : x
  2. Step 2: Convert to fraction form
    74,458/102,752.08 = 40,926.16/x
  3. Step 3: Cross multiply
    74,458x = 102,752.08 × 40,926.16
  4. Step 4: Simplify right side
    74,458x = 4,205,248,066.41
  5. Step 5: Solve for x
    x = 4,205,248,066.41/74,458
  6. Step 6: Final answer
    x = 56,478.12

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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.