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Finding the Fourth Proportional to 56,046, 77,345.10 and 30,897.12

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Solution

The fourth proportional to 56,046, 77,345.10 and 30,897.12 is: 42,638.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,046 : 77,345.10 = 30,897.12 : x
  2. Step 2: Convert to fraction form
    56,046/77,345.10 = 30,897.12/x
  3. Step 3: Cross multiply
    56,046x = 77,345.10 × 30,897.12
  4. Step 4: Simplify right side
    56,046x = 2,389,740,836.11
  5. Step 5: Solve for x
    x = 2,389,740,836.11/56,046
  6. Step 6: Final answer
    x = 42,638.92

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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.