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Finding the Fourth Proportional to 86,454, 119,306.52 and 46,710

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Solution

The fourth proportional to 86,454, 119,306.52 and 46,710 is: 64,459.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,454 : 119,306.52 = 46,710 : x
  2. Step 2: Convert to fraction form
    86,454/119,306.52 = 46,710/x
  3. Step 3: Cross multiply
    86,454x = 119,306.52 × 46,710
  4. Step 4: Simplify right side
    86,454x = 5,572,807,549.20
  5. Step 5: Solve for x
    x = 5,572,807,549.20/86,454
  6. Step 6: Final answer
    x = 64,459.80

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Why These Related Problems?

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