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Finding the Fourth Proportional to 42,547, 58,714.86 and 23,685.34

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Solution

The fourth proportional to 42,547, 58,714.86 and 23,685.34 is: 32,685.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,547 : 58,714.86 = 23,685.34 : x
  2. Step 2: Convert to fraction form
    42,547/58,714.86 = 23,685.34/x
  3. Step 3: Cross multiply
    42,547x = 58,714.86 × 23,685.34
  4. Step 4: Simplify right side
    42,547x = 1,390,681,422.15
  5. Step 5: Solve for x
    x = 1,390,681,422.15/42,547
  6. Step 6: Final answer
    x = 32,685.77

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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.