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Finding the Fourth Proportional to 42,461.01, 58,595.94 and 23,598

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Solution

The fourth proportional to 42,461.01, 58,595.94 and 23,598 is: 32,565.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,461.01 : 58,595.94 = 23,598 : x
  2. Step 2: Convert to fraction form
    42,461.01/58,595.94 = 23,598/x
  3. Step 3: Cross multiply
    42,461.01x = 58,595.94 × 23,598
  4. Step 4: Simplify right side
    42,461.01x = 1,382,746,992.12
  5. Step 5: Solve for x
    x = 1,382,746,992.12/42,461.01
  6. Step 6: Final answer
    x = 32,565.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.