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Finding the Fourth Proportional to 52,116.10, 71,875.02 and 42,041.32

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Solution

The fourth proportional to 52,116.10, 71,875.02 and 42,041.32 is: 57,980.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,116.10 : 71,875.02 = 42,041.32 : x
  2. Step 2: Convert to fraction form
    52,116.10/71,875.02 = 42,041.32/x
  3. Step 3: Cross multiply
    52,116.10x = 71,875.02 × 42,041.32
  4. Step 4: Simplify right side
    52,116.10x = 3,021,720,715.83
  5. Step 5: Solve for x
    x = 3,021,720,715.83/52,116.10
  6. Step 6: Final answer
    x = 57,980.56

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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.