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Finding the Fourth Proportional to 58,886.48, 88,343.80 and 31,178.32

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Solution

The fourth proportional to 58,886.48, 88,343.80 and 31,178.32 is: 46,774.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,886.48 : 88,343.80 = 31,178.32 : x
  2. Step 2: Convert to fraction form
    58,886.48/88,343.80 = 31,178.32/x
  3. Step 3: Cross multiply
    58,886.48x = 88,343.80 × 31,178.32
  4. Step 4: Simplify right side
    58,886.48x = 2,754,411,266.42
  5. Step 5: Solve for x
    x = 2,754,411,266.42/58,886.48
  6. Step 6: Final answer
    x = 46,774.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.